Dr. David José Fernández Cabrera
Physics Department
Cinvestav


General Information
Research
Public research profiles

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Articles in journals
  1. J de la Cruz-Hernandez, DJ Fernández
    Confluent supersymmetric algorithm for bilayer graphene
    Ann Phys 482 (2025) 170184

  2. DJ Fernández, O Pavón-Torres
    Bilayer graphene in periodic and quasiperiodic magnetic superlattices
    Eur Phys J Plus 139 (2024) 678

  3. M Castillo-Celeita, A Contreras-Astorga, DJ Fernández
    Design of quasiperiodic magnetic superlattices and domain walls supporting bound states
    Eur Phys J Plus 138 (2023) 820

  4. JD García-Muñoz, DJ Fernández, F Vergara Méndez
    Supersymmetric Quantum Mechanics, multiphoton algebras and coherent states
    Phys Scripta 98 (2023) 105243

  5. DJ Fernández, DI Martínez-Moreno
    Multiphoton coherent states for bilayer graphene
    Phys Scripta 98 (2023) 045219

  6. A Contreras-Astorga, DJ Fernández, C Muro-Cabral
    Equivalent non-rational extensions of the harmonic oscillator, their ladder operators and coherent states
    Eur Phys J Plus 138 (2023) 62

  7. DJ Fernández, JD García-Muñoz
    Graphene in complex magnetic fields
    Eur Phys J Plus 137 (2022) 1013

  8. DJ Fernández, D O-Campa
    Graphene generalized coherent states
    Eur Phys J Plus 137 (2022) 1012

  9. M Castillo-Celeita, A Contreras-Astorga, DJ Fernández
    Complex Supersymmetry in Graphene
    Eur Phys J Plus 137 (2022) 904

  10. A Contreras-Astorga, DJ Fernández, C Muro-Cabral
    Linearised coherent states for non-rational SUSY extensions of the harmonic oscillator
    Acta Politechnica 62 (2022) 30-37

  11. M Castillo-Celeita, A Contreras-Astorga, DJ Fernández
    Photonic graphene under strain with position-dependent gain and loss
    Acta Politechnica 62 (2022) 23-29

  12. DJ Fernández, R. Reyes
    Spectral manipulation of the trigonometric Rosen-Morse potential through supersymmetry
    Phys Scripta 96 (2021) 125250

  13. DJ Fernández, JD García M, D O-Campa
    Bilayer graphene in magnetic fields generated by supersymmetry
    J Phys A: Math Theor 54 (2021) 245302

  14. DJ Fernández, DI Martínez-Moreno
    Bilayer graphene coherent states
    Eur Phys J Plus 135 (2020) 739

  15. DJ Fernández, JD García M, D O-Campa
    Electron in bilayer graphene with magnetic fields leading to shape invariant potentials
    J Phys A: Math Theor 53 (2020) 435202

  16. DJ Fernández, B. Roy
    Confluent Second-Order Supersymmetric Quantum Mechanics and Spectral Design
    Phys Scr 95 (2020) 055210

  17. M Castillo-Celeita, DJ Fernández
    Dirac electron in graphene with magnetic fields arising from first-order intertwining operators
    J Phys A: Math Theor 53 (2020) 035302

  18. A Dobrogowska, DJ Fernández
    Discrete Quantum Harmonic Oscillator
    Symmetry 11 (2019) 1362

  19. MI Estrada-Delgado, DJ Fernández
    Ladder operators for the Ben Daniel-Duke Hamiltonians and their SUSY partners
    Eur Phys J Plus 134 (2019) 341

  20. E Díaz-Bautista, DJ Fernández
    Multiphoton supercoherent states
    Eur Phys J Plus 134 (2019) 61

  21. M Castillo-Celeita, E Díaz-Bautista, DJ Fernández
    Polynomial Heisenberg algebras, multiphoton coherent states and geometric phases
    Phys Scr 94 (2019) 045203

  22. DJ Fernández, V. Hussin, VS Morales-Salgado
    Coherent states for the supersymmetric partners of the truncated oscillator
    Eur Phys J Plus 134 (2019) 18

  23. DJ Fernández, VS Morales-Salgado
    Higher Order Supersymmetric Truncated Oscillators
    Ann Phys 388 (2018) 122

  24. E Díaz-Bautista, DJ Fernández
    Graphene coherent states
    Eur Phys J Plus 132 (2017) 499 (13 pages)

  25. D Bermudez, DJ Fernández, J Negro
    Solutions to the Painlevé V equation through supersymmetric quantum mechanics
    J Phys A: Math Theor 49 (2016) 335203 (37 pages)

  26. DJ Fernández, VS Morales-Salgado
    SUSY partners of the truncated oscillator, Painlevé transcendents and Bäcklund transformations
    J Phys A: Math Theor 49 (2016) 195202 (16 pages)

  27. E Díaz-Bautista, DJ Fernández
    Nonlinear supercoherent states and geometric phases for the supersymmetric harmonic oscillator
    Eur Phys J Plus 131 (2016) 151 (18 pages)

  28. DJ Fernández, JC González
    Complex oscillator and Painlevé IV equation
    Ann Phys 359 (2015) 213-229

  29. D Bermudez, A Contreras-Astorga, DJ Fernández
    Painlevé IV Coherent States
    Ann Phys 350 (2014) 615-634

  30. B Midya, DJ Fernández
    Dirac electron in graphene under supersymmetry generated magnetic fields
    J Phys A: Math Theor 47 (2014) 285302 (11 pages)

  31. A Zúñiga-Segundo, BM Rodríguez-Lara, DJ Fernández, HM Moya-Cessa
    Jacobi photonic lattices and their SUSY partners
    Opt Express 22 (2014) 987-994

  32. DJ Fernández, VS Morales-Salgado
    Supersymmetric partners of the harmonic oscillator with an infinite potential barrier
    J Phys A: Math Theor 47 (2014) 035304 (23 pages)

  33. D Bermúdez, DJ Fernández
    Factorization method and new potentials from the inverted oscillator
    Ann Phys 333 (2013) 290-306

  34. A Contreras-Astorga, DJ Fernández, J Negro
    Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators
    SIGMA 8 (2012) 082 (10 pages)

  35. DJ Fernández
    Harmonic oscillator SUSY partners and evolution loops
    SIGMA 8 (2012) 041 (12 pages)

  36. D Bermúdez, DJ Fernández, N Fernández-García
    Wronskian differential formula for confluent supersymmetric quantum mechanics
    Phys Lett A 376 (2012) 692-696

  37. DJ Fernández, E Salinas-Hernández
    Hyperconfluent third-order supersymmetric quantum mechanics
    J Phys A: Math Theor 44 (2011) 365302 (11 pages)

  38. D Bermúdez, DJ Fernández
    Non-hermitian Hamiltonians and the Painlevé IV equation with real parameters
    Phys Lett A 375 (2011) 2974-2978

  39. A Contreras-Astorga, DJ Fernández
    Coherent States for the Asymmetric Penning Trap
    Int J Theor Phys 50 (2011) 2084-2093

  40. S Domínguez-Hernández, DJ Fernández
    Rosen-Morse Potential and Its Supersymmetric Partners
    Int J Theor Phys 50 (2011) 1993-2001

  41. DJ Fernández, M Gadella, LM Nieto
    Supersymmetry transformations for delta potentials
    SIGMA 7 (2011) 029 (14 pages)

  42. D Bermúdez, DJ Fernández
    Supersymmetric quantum mechanics and Painlevé IV equation
    SIGMA 7 (2011) 025 (14 pages)

  43. A Contreras-Astorga, DJ Fernández, M Velázquez
    Coherent states for quadratic Hamiltonians
    J Phys A: Math Theor 44 (2011) 035304 (16 pages)

  44. DJ Fernández, A Ganguly
    Supersymmetric partners for the associated Lamé potentials
    Phys At Nucl 73 (2010) 288-294

  45. DJ Fernández, M Velázquez
    Coherent states approach to Penning trap
    J Phys A: Math Theor 42 (2009) 085304 (9 pages)

  46. A Contreras-Astorga, DJ Fernández
    Supersymmetric partners of the trigonometric Pöschl-Teller potentials
    J Phys A: Math Theor 41 (2008) 475303 (18 pages)

  47. DJ Fernández, V Hussin, O Rosas-Ortiz
    Coherent states for Hamiltonians generated by supersymmetry
    J Phys A: Math Theor 40 (2007) 6491-6511

  48. DJ Fernández, A Ganguly
    Exactly solvable associated Lamé potentials and supersymmetric transformations
    Ann. Phys. 322 (2007) 1143-1161

  49. DJ Fernández, A Ganguly
    New supersymmetric partners for the associated Lamé potentials
    Phys Lett A 338 (2005) 203-208

  50. DJ Fernández, E Salinas-Hernández
    Wronskian formula for confluent second-order supersymmetric quantum mechanics
    Phys Lett A 338 (2005) 13-18

  51. JM Carballo, DJ Fernández, J Negro, LM Nieto
    Polynomial Heisenberg algebras
    J Phys A: Math Gen 37 (2004) 10349-10362

  52. DJ Fernández, J Negro, LM Nieto
    Elementary systems with partial finite ladder spectra
    Phys Lett A 324 (2004) 139-144

  53. DJ Fernández, E Salinas-Hernández
    The confluent algorithm in second order supersymmetric quantum mechanics
    J Phys A: Math Gen 36 (2003) 2537-2543

  54. DJ Fernández, R Muñoz, A Ramos
    Second order SUSY transformations with `complex energies'
    Phys Lett A 308 (2003) 11-16

  55. DJ Fernández, B Mielnik, O Rosas-Ortiz, BF Samsonov
    Nonlocal supersymmetric deformations of periodic potentials
    J Phys A: Math Gen 35 (2002) 4279-4291

  56. DJ Fernández, B Mielnik
    Comment on `Charged particles in a rotating magnetic field'
    Phys Rev A 65 (2002) 056101

  57. DJ Fernández, B Mielnik, O Rosas-Ortiz, BF Samsonov
    The phenomenon of Darboux displacements
    Phys Lett A 294 (2002) 168-174

  58. DJ Fernández, HC Rosu
    Quantum mechanical spectral engineering by scaling intertwining
    Phys Scr 64 (2001) 177-183

  59. JF Cariñena, A Ramos, DJ Fernández
    Group theoretical approach to the intertwined Hamiltonians
    Ann Phys 292 (2001) 42-66

  60. J Negro, LM Nieto, DJ Fernández
    Darboux transformations for Lamé potentials
    Czech J Phys 50 (2000) 1303-1308

  61. DJ Fernández, HC Rosu
    On first-order scaling intertwining in quantum mechanics
    Rev Mex Fís 46 S2 (2000) 153-156

  62. DJ Fernández, J Negro, LM Nieto
    Second order supersymmetric periodic potentials
    Phys Lett A 275 (2000) 338-349

  63. DJ Fernández, V Hussin
    Higher order SUSY, linearized non-linear Heisenberg algebras and coherent states
    J Phys A: Math Gen 32 (1999) 3603-3619

  64. DJ Fernández, V Hussin, B Mielnik
    A simple generation of exactly solvable anharmonic oscillators
    Phys Lett A 244 (1998) 309-316

  65. DJ Fernández, ML Glasser, LM Nieto
    New Isospectral Oscillator Potentials
    Phys Lett A 240 (1998) 15-20

  66. DJ Fernández, O Rosas-Ortiz
    Inverse techniques and evolution of spin-1/2 systems
    Phys Lett A 236 (1997) 275-279

  67. DJ Fernández
    SUSUSY quantum mechanics
    Int J Mod Phys A 12 (1997) 171-176

  68. DJ Fernández, J Negro, MA del Olmo
    Group approach to the factorization of the radial oscillator equation
    Ann Phys 252 (1996) 386-412

  69. DJ Fernández, LM Nieto, O Rosas-Ortiz
    Distorted Heisenberg algebra and coherent states for isospectral oscillator Hamiltonians
    J Phys A: Math Gen 28 (1995) 2693-2708

  70. DJ Fernández
    Geometric phases and Mielnik's evolution loops
    Int J Theor Phys 33 (1994) 2037-2047

  71. DJ Fernández, V Hussin, LM Nieto
    Coherent states for isospectral oscillator Hamiltonians
    J Phys A: Math Gen 27 (1994) 3547-3564

  72. DJ Fernández, B Mielnik
    Controlling quantum motion
    J Math Phys 35 (1994) 2083-2104

  73. DJ Fernández, N Bretón
    Is there a prescribed parameter's space for the adiabatic geometric phase?
    Europhys Lett 21 (1993) 147-152

  74. DJ Fernández, MA del Olmo, M Santander
    Orbital Aharonov-Anandan geometric phase for confined motion in a precessing magnetic field
    J Phys A: Math Gen 25 (1992) 6409-6418

  75. DJ Fernández, LM Nieto, MA del Olmo, M Santander
    Aharonov-Anandan geometric phase for spin-1/2 periodic Hamiltonians
    J Phys A: Math Gen 25 (1992) 5151-5163

  76. DJ Fernández
    Transformations of a wave packet in a Penning trap
    Nuovo Cim 107 B (1992) 885-893

  77. DJ Fernández, LM Nieto
    Floquet theory in phase space quantum mechanics for an electron in a rotating magnetic field
    Phys Lett A 161 (1991) 202-206

  78. DJ Fernández, LM Nieto
    Penning trap from the phase space quantum mechanics point of view
    Phys Lett A 157 (1991) 315-319

  79. DJ Fernández, B Mielnik
    Nodal resonance in a strong standing wave
    Phys Rev A 41 (1990) 5788-5797

  80. DJ Fernández
    Semiclassical resonance in rotating magnetic fields
    Acta Phys Polon B 21 (1990) 589-601

  81. B Mielnik, DJ Fernández
    Is there an instability transition in standing wave traps?
    Lett Math Phys 17 (1989) 87-94

  82. B Mielnik, DJ Fernández
    An electron trapped in a rotating magnetic field
    J Math Phys 30 (1989) 537-549

  83. DJ Fernández
    New hydrogen-like potentials
    Lett Math Phys 8 (1984) 337-343

Articles in books and proceedings
  1. DJ Fernández
    Darboux transformations applied to graphene in magnetic fields
    Geometric Methods in Physics XLI. WGMP 2024. Trends in Mathematics. P Kielanowski, A Dobrogowska, D Fernández, T Goliński Eds, Birkhäuser Cham, Springer Nature Switzerland AG (2025) 67-82

  2. DJ Fernández, O Pavón-Torres
    Topological defects in bilayer graphene magnetic superlattices
    J Phys: Conf Ser 2986 (2025) 012001 (11 pages)

  3. DJ Fernández
    Bogdan Mielnik’s contributions to the factorization method
    Geometric Methods in Physics XXXIX. Trends in Mathematics. P Kielanowski, A Dobrogowska, GA Goldin, T Golinski Eds, Birkhäuser Cham, Springer Nature Switzerland AG (2023) 75-84

  4. DJ Fernández
    Supersymmetric quantum mechanics and Painlevé IV transcendents
    Geometric Methods in Physics XXXIX. Trends in Mathematics. P Kielanowski, A Dobrogowska, GA Goldin, T Golinski Eds, Birkhäuser Cham, Springer Nature Switzerland AG (2023) 329-339

  5. DO Campa, JD García, DJ Fernández
    Electron in bilayer graphene with magnetic fields associated with solvable potentials
    Quantum Theory and Symmetries, M.B. Paranjape et al Eds., CRM Series in Mathematical Physics. Springer, Cham (2021) 265-273

  6. R Reyes, DJ Fernández, H Gasperín
    Second-order supersymmetric partners of the trigonometric Rosen-Morse potential
    Quantum Theory and Symmetries, M.B. Paranjape et al Eds., CRM Series in Mathematical Physics. Springer, Cham (2021) 235-243

  7. DJ Fernández
    Painlevé IV transcendents generated from the complex oscillator
    Quantum Theory and Symmetries, M.B. Paranjape et al Eds., CRM Series in Mathematical Physics. Springer, Cham (2021) 47-55

  8. D Bermudez, DJ Fernández, J Negro
    Generation of Painlevé V transcendents
    Geometric Methods in Physics XXXVII. Trends in Mathematics. P Kielanowski, A Odzijewicz, E Previato Eds, Birkhäuser, Springer Nature Switzerland AG (2019) 24-33

  9. DJ Fernández
    Trends in supersymmetric quantum mechanics
    Integrability, Supersymmetry and Coherent States, S. Kuru, J. Negro, L.M. Nieto Eds, CRM Series in Mathematical Physics, Springer, Cham (2019) 37-68

  10. M Castillo-Celeita, DJ Fernández
    The good, the bad and the ugly coherent states through polynomial Heisenberg algebras
    Physical and Mathematical Aspects of Symmetries, S Duarte et al Eds, Springer International Publishing AG (2017) 111-117

  11. E Díaz-Bautista, DJ Fernández
    About nonlinear coherent states in graphene
    Physical and Mathematical Aspects of Symmetries, S Duarte et al Eds, Springer International Publishing AG (2017) 385-387

  12. MI Estrada-Delgado, DJ Fernández
    Painlevé IV solutions from systems with a harmonic oscillator gapped spectrum
    Physical and Mathematical Aspects of Symmetries, S Duarte et al Eds, Springer International Publishing AG (2017) 389-390

  13. M Castillo-Celeita, DJ Fernández
    First-Order Polynomial Heisenberg Algebras and Coherent States
    J Phys: Conf Ser 698 (2016) 012007 (9 pages)

  14. MI Estrada-Delgado, DJ Fernández
    Painlevé IV Solutions from Hamiltonians with Equidistant Gapped Spectrum
    J Phys: Conf Ser 698 (2016) 012027 (6 pages)

  15. DJ Fernández
    Painlevé Equations and Supersymmetric Quantum mechanics
    Geometric Methods in Physics. Trends in Mathematics, P Kielanowski et al Eds, Birkhäuser, Springer Basel (2016) 213-231

  16. D Bermúdez, DJ Fernández
    A connection between supersymmetric quantum mechanics and Painlevé V equation
    J Phys: Conf Ser 624 (2015) 012012 (12 pages)

  17. E Díaz-Bautista, DJ Fernández
    Supercoherent states approach to the SUSY harmonic oscillator
    J Phys: Conf Ser 624 (2015) 012014 (11 pages)

  18. DJ Fernández, JC González
    SUSY partners of the complex oscillator and Painleve IV equation
    J Phys: Conf Ser 624 (2015) 012015 (10 pages)

  19. DJ Fernández, VS Morales-Salgado
    Truncated harmonic oscillator and Painlevé IV and V equations
    J Phys: Conf Ser 624 (2015) 012017 (10 pages)

  20. D Bermúdez, A Contreras-Astorga, DJ Fernández
    Painlevé IV Hamiltonian systems and coherent states
    J Phys: Conf Ser 597 (2015) 012017 (11 pages)

  21. E Díaz-Bautista, DJ Fernández
    Supersymmetric harmonic oscillator and nonlinear supercoherent states
    J Phys: Conf Ser 597 (2015) 012031 (11 pages)

  22. DJ Fernández, VS Morales-Salgado
    Factorization method for the truncated harmonic oscillator
    J Phys: Conf Ser 597 (2015) 012035 (9 pages)

  23. D Bermúdez, DJ Fernández,
    Hamiltonians with two-ladder spectra and solutions to the Painlevé IV equation
    J Phys: Conf Ser 512 (2014) 012017 (9 pages)

  24. D Bermúdez, A Contreras-Astorga, DJ Fernández
    Linearized coherent states for Hamiltonian systems with two equidistant ladder spectra
    J Phys: Conf Ser 512 (2014) 012018 (10 pages)

  25. DJ Fernández, VS Morales-Salgado
    Supersymmetric partners of the truncated harmonic oscillator
    J Phys: Conf Ser 512 (2014) 012024 (12 pages)

  26. D Bermudez, DJ Fernández
    Supersymmetric quantum mechanics and Painlevé equations
    AIP Conference Proceedings 1575 (2014) 50-88

  27. DJ Fernández
    Bogdan Mielnik: Contributions to Quantum Control
    Geometric Methods in Physics. Trends in Mathematics, P Kielanowski et al Eds, Birkhauser, Springer Basel (2013) 135-156

  28. D Bermúdez, DJ Fernández
    Solution Hierarchies for the Painlevé IV Equation
    Geometric Methods in Physics. Trends in Mathematics, P Kielanowski et al Eds, Birkhauser, Springer Basel (2013) 199-209

  29. D Bermúdez, DJ Fernández
    Complex solutions to Painleve IV equation through supersymmetric quantum mechanics
    AIP Conference Proceedings 1420 (2012) 47-51

  30. DJ Fernández
    Supersymmetric quantum mechanics
    AIP Conference Proceedings 1287 (2010) 3-36

  31. A Contreras-Astorga, DJ Fernández
    Asymmetric Penning trap coherent states
    AIP Conference Proceedings 1256 (2010) 239-245

  32. A Contreras-Astorga, DJ Fernández
    Second-order SUSY partners of the trigonometric Pöschl-Teller potentials
    J Phys: Conf Ser 128 (2008) 012043 (8 pages)

  33. DJ Fernández, V Hussin, O Rosas-Ortiz
    Coherent states for SUSY partner Hamiltonians
    J Phys: Conf Ser 128 (2008) 012023 (11 pages)

  34. A Contreras-Astorga, DJ Fernández
    First-Order SUSY Partners of the Trigonometric Pöschl-Teller Potential
    AIP Conference Proceedings 960 (2007) 55-60

  35. DJ Fernández
    Supersymmetric Partners of Periodic Potentials
    AIP Conference Proceedings 809 (2006) 99-105

  36. DJ Fernández
    Coherent States for One-Dimensional Systems
    AIP Conference Proceedings 809 (2006) 80-85

  37. DJ Fernández, A Ramos
    Second order supersymmetry transformations in quantum mechanics
    Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebañski, H García-Compeán et al Eds, World Scientific, Singapore (2006) 167-175
  38. DJ Fernández, N. Fernández-García
    Higher-order supersymmetric quantum mechanics
     AIP Conference Proceedings 744 (2005) 236-273

  39. DJ Fernández, E Salinas-Hernández
    Second-order supersymmetric quantum mechanics for confluent factorization energies
    Inst Phys Conf Ser 185 (2005) 255-260

  40. DJ Fernández
    Higher-order supersymmetry in quantum mechanics
    Concise Encyclopedia of Supersymmetry, S Duplij et al Eds, Kluwer, USA (2004) 186-188

  41. JM Carballo, DJ Fernández, J Negro, LM Nieto
    Polynomial deformations of the Heisenberg-Weyl algebra
    Proceedings of the 8th International Conference on Squeezed States and Uncertainty Relations, H Moya-Cessa et al Eds, Rinton Press, USA (2003) 73-79

  42. DJ Fernández, V Hussin
    Polynomial Heisenberg algebras and higher order supersymmetry
    Proceedings of the XXIII International Colloquium on Group Theoretical Methods in Physics Vol 1, AN Sissakian et al Eds, JINR Dubna, Russia (2002) 121-128

  43. DJ Fernández, O Rosas-Ortiz
    Evolution loops and spin-1/2 systems
    Coherent states, quantization and gravity, M Schlichenmaier et al Eds, Warsaw University Press, Poland (2001) 81-88

  44. B Mielnik, DJ Fernández
    Operational techniques for the Floquet Hamiltonians
    Proceedings of the 39th IEEE Conference on Decision and Control, IEEE 00CH37187C, Causal Productions, Australia (2000) 961-966
  45. DJ Fernández, V Hussin
    m-SUSY coherent states
    Proceedings of the Sixth International Conference on Squeezed States and Uncertainty Relations, D Han et al Eds, NASA/CP-2000-209899, USA (2000) 222-225

  46. DJ Fernández
    The manipulation problem in quantum mechanics
    Symmetries in quantum mechanics and quantum optics, A Ballesteros et al Eds, Universidad de Burgos, Spain (1999) 121-134

  47. DJ Fernández, O Rosas-Ortiz
    Dynamical manipulation for spin-1/2 systems
    Proceedings of the Fifth International Conference on Squeezed States and Uncertainty Relations, D Han et al Eds, NASA/CP-1998-206855, USA (1998) 583-588

  48. DJ Fernández, ML Glasser, LM Nieto
    "SUSUSY" isospectral oscillator potentials
    Proceedings of the Fifth International Conference on Squeezed States and Uncertainty Relations, D Han et al Eds, NASA/CP-1998-206855, USA (1998) 227-232

  49. DJ Fernández
    Isospectral Hamiltonians generated from second order shift operators
    Physical applications and mathematical aspects of geometry, groups and algebras, HD Doebner et al Eds, World Scientific, Singapore (1997) 484-488

  50. DJ Fernández, O Rosas-Ortiz, LM Nieto
    On a distorted version of the Heisenberg algebra representation
    Proceedings of the Fourth Wigner Symposium, NM Atakishiyev et al Eds, World Scientific, Singapore (1996) 413-416

  51. DJ Fernández, J Negro, MA del Olmo
    On a link between shift and ladder operators
    Proceedings of the Fourth Wigner Symposium, NM Atakishiyev et al Eds, World Scientific, Singapore (1996) 235-238

  52. B Mielnik, DJ Fernández
    Exponential formulae and effective operations
    Proceedings of the Fourth International Conference on Squeezed States and Uncertainty Relations, D Han et al Eds, NASA CP-3322, USA (1996) 241-251

  53. DJ Fernández, V Hussin, LM Nieto
    Coherent states for a generalization of the harmonic oscillator
    Proceedings of the Second International Workshop on Harmonic Oscillators, D Han and KB Wolf Eds, NASA CP-3286, USA (1995) 215-221

  54. DJ Fernández
    Geometric phases, evolution loops and generalized oscillator potentials
    Proceedings of the Second International Workshop on Harmonic Oscillators, D Han and KB Wolf Eds, NASA CP-3286, USA (1995) 207-213

  55. DJ Fernández, B Mielnik
    Manipulation of quantum evolution
    Proceedings of the Third International Workshop on Squeezed States and Uncertainty Relations, D Han et al Eds, NASA CP-3270, USA (1994) 173-178

  56. DJ Fernández, MA del Olmo, M Santander
    Geometric phases for a class of Hamiltonians involving a precessing magnetic field
    Anales de Física, Monografías vol 2, MA del Olmo et al Eds, CIEMAT/RSEF, Spain (1993) 430-433

Review articles
  1. DJ Fernández
    Trends in supersymmetric quantum mechanics
    Integrability, Supersymmetry and Coherent States, S. Kuru, J. Negro, L.M. Nieto Eds, CRM Series in Mathematical Physics, Springer, Cham (2019) 37-68

  2. D Bermudez, DJ Fernández
    Supersymmetric quantum mechanics and Painlevé equations
    AIP Conference Proceedings 1575 (2014) 50-88

  3. DJ Fernández
    Supersymmetric quantum mechanics
    AIP Conference Proceedings 1287 (2010) 3-36

  4. DJ Fernández, A Ganguly
    Exactly solvable associated Lamé potentials and supersymmetric transformations
    Ann. Phys. 322 (2007) 1143-1161

  5. DJ Fernández, N. Fernández-García
    Higher-order supersymmetric quantum mechanics
     AIP Conference Proceedings 744 (2005) 236-273

  6. JF Cariñena, A Ramos, DJ Fernández
    Group theoretical approach to the intertwined Hamiltonians
    Ann Phys 292 (2001) 42-66

  7. DJ Fernández, J Negro, MA del Olmo
    Group approach to the factorization of the radial oscillator equation
    Ann Phys 252 (1996) 386-412

Preprints
  1. DJ Fernández, O Pavón-Torres
    Exact solutions of the inhomogeneous nonlinear Schrödinger equation through supersymmetric potentials

  2. A Dobrogowska, DJ Fernández
    Darboux transformations and second order difference equations

  3. DJ Fernández
    Supersymmetrically transformed periodic potentials
    Talk given by DJ Fernández at the 7th International Wigner Symposium, College Park, Maryland, USA (2001)

  4. DJ Fernández, B Mielnik, O Rosas-Ortiz, BF Samsonov
    Second-order irreducible supersymmetry for periodic potentials
    Talk given by BF Samsonov at the IXth International Conference on Symmetry Methods in Physics, Yerevan, Armenia (2001)

Edited books
  1. P Kielanowski, A Dobrogowska, D Fernández, T Goliński
    Geometric Methods in Physics XLI. Workshop, Bialystok, Poland, 2024
    Trends in Mathematics. Birkhäuser Cham, Springer Nature Switzerland AG (2025)

  2. DJ Fernández
    Número especial de Avance y Perspectiva dedicado a Bogdan Mielnik
    Avance y Perspectiva Vol 1, No. 4 (2016)

  3. N Bretón, DJ Fernández, P Kielanowski
    International Conference on `Quantum Control, Exact or Perturbative, Linear or Nonlinear' to celebrate 50 years of the scientific career of Professor Bogdan Mielnik
    Journal of Physics: Conference Series 624 (2015)

  4. R Bijker, O Castaños, DJ Fernández, H Morales-Técotl, L Urrutia, C Villarreal
    Latin-American School of Physics: XXXV ELAF. Supersymmetries in Physics and its Applications
    AIP Conference Proceedings 744 (2005)

  5. I Aref'eva, DJ Fernández, V Hussin, J Negro, LM Nieto, BF Samsonov
    Special issue dedicated to the subject of the `International Conference on Progress in Supersymmetric Quantum Mechanics' (PSQM'03) (Valladolid, Spain, 15-19 July 2003)
    Journal of Physics A: Mathematical and General 37, Number 43 (2004)

Advised Ph.D. thesis
  1. Dennis Itzel Martinez Moreno
    On some quantum features of bilayer graphene coherent states (PDF)
    Physics Department, Cinvestav, México (30-X-2023)

  2. Daniel Ortiz Campa
    Graphene generalized coherent states (PDF)
    Physics Department, Cinvestav, México (13-VI-2022)

  3. Miguel Fernando Castillo Celeita
    Dirac-Weyl electron in graphene and supersymmetric quantum mechanics (in Spanish) (PDF)
    Physics Department, Cinvestav, México (7-III-2022)

  4. Juan Domingo García Muñoz
    Bilayer and monolayer graphene in magnetic fields generated by supersymmetry (PDF)
    Physics Department, Cinvestav, México (21-II-2022)

  5. Rosa María Reyes García
    Supersymmetric partners of the trigonometric Rosen-Morse potential and spectral design (in Spanish) (PDF)
    Physics Department, Cinvestav, México (16-XII-2021)

  6. Mario Ivan Estrada Delgado
    Polynomial Heisenberg algebras and supersymmetric transformations in systems with effective mass (in Spanish)
    Physics Department, Cinvestav, México (27-IX-2019)

  7. Erik Díaz Bautista
    Multiphoton coherent states in spinor-like systems (in Spanish)
    Physics Department, Cinvestav, México (16-I-2017)

  8. Vicente Said Morales Salgado
    Supersymmetric partners of the truncated oscillator (in Spanish)
    Physics Department, Cinvestav, México (8-XII-2016)

  9. Juan Carlos González López
    Complex solutions of the Painlevé IV and V equations via supersymmetric quantum mechanics (in Spanish)
    Physics Department, Cinvestav, México (5-XII-2016)

  10. David Bermúdez Rosales
    Polynomial Heisenberg algebras and Painlevé equations
    Physics Department, Cinvestav, México (4-VII-2013)

  11. Alonso Contreras Astorga
     Coherent states and supersymmetric quantum mechanics with applications (in Spanish)
    Physics Department, Cinvestav, México (21-VI-2013)

  12. Encarnación Salinas Hernández
     Confluent second-order supersymmetric quantum mechanics and applications (in Spanish)
    Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, México (23-IV-2010)

  13. Rodrigo Muñoz Vega
     Complex supersymmetrical transformations and exactly-solvable potentials
    Physics Department, Cinvestav, México (11-VIII-2004)

  14. José Oscar Rosas Ortiz
    Dynamic manipulation and generalized factorization in quantum mechanics (in Spanish)
    Physics Department, Cinvestav, México (9-XII-1997)

Advised M.Sc. thesis
  1. Jonathan de la Cruz Hernández
    Confluent supersymmetric algorithm for bilayer graphene
    Physics Department, Cinvestav, México (3-XII-2024)

  2. Dennis Itzel Martinez Moreno
    Coherent states for bilayer graphene (in Spanish)
    Physics Department, Cinvestav, México (7-XII-2018)

  3. Daniel Ortiz Campa
    Supersymmetric coherent states for graphene (in Spanish)
    Physics Department, Cinvestav, México (16-XI-2017)

  4. Juan Domingo García Muñoz
    Algebras and multiphoton coherent states for supersymmetrically generated Hamiltonians (in Spanish)
    Physics Department, Cinvestav, México (16-VIII-2017)

  5. Fernando Vergara Méndez
    Polynomial Heisenberg algebras, SUSY partners of the harmonic oscillator and coherent states (in Spanish)
    Physics Department, Cinvestav, México (7-IV-2017)

  6. Miguel Fernando Castillo Celeita
    Polynomial Heisenberg algebras and coherent states associated with simple systems (in Spanish)
    Physics Department, Cinvestav, México (18-VIII-2015)

  7. Mario Ivan Estrada Delgado
    Rational solutions of the Painlevé IV equation (in Spanish)
    Physics Department, Cinvestav, México (14-XI-2014)

  8. César Antonio Pérez Quintana
    Penning trap in a rotating magnetic field and its coherent states (in Spanish)
    Physics Department, Cinvestav, México (15-XI-2013)

  9. Humberto Gasperín Sánchez
    Supersymmetric treatment of the Rosen-Morse potentials (in Spanish)
    Physics Department, Cinvestav, México (28-X-2013)

  10. Erik Díaz Bautista
    Nonlinear supercoherent states of the supersymmetric quantum harmonic oscillator (in Spanish)
    Physics Department, Cinvestav, México (27-IX-2013)

  11. Juan Carlos González López
    Complex oscillator, SUSY transformations and Painlevé IV equation (in Spanish)
    Physics Department, Cinvestav, México (13-IX-2013)

  12. Vicente Said Morales Salgado
    Supersymmetric partners of the harmonic oscillator with an infinite potential barrier (in Spanish)
    Physics Department, Cinvestav, México (23-VIII-2012)

  13. David Bermúdez Rosales
    Supersymmetry and Painlevé IV equation (in Spanish)
    Physics Department, Cinvestav, México (12-XI-2010)

  14. Alonso Contreras Astorga
     Supersymmetric partners of the trigonometric Pöschl-Teller potentials (in Spanish)
    Physics Department, Cinvestav, México (21-XI-2007)

  15. Mercedes Paulina Velázquez Quesada
    Coherent states for three-dimensional quadratic Hamiltonians with axial symmetry (in Spanish)
    Physics Department, Cinvestav, México (29-III-2007)

  16. Juan Manuel Carballo Jiménez
    Supersupersymmetric quantum mechanics and families of radial potentials almost isospectral to the oscillator (in Spanish)
    ESFM-IPN, México (9-X-2001)

  17. José Oscar Rosas Ortiz
    Supersymmetry, distorted Heisenberg-Weyl algebra and coherent states (in Spanish)
    Physics Department, Cinvestav, México (3-II-1995)

Videos of talks
  1. DJ Fernández
    Development of the factorization method in quantum mechanics (in Spanish)
    30th Academic national meeting of physics and mathematics, IPN, México (24-IX-2025)

  2. DJ Fernández
    Factorization method: past, present and future (in Spanish)
    Institutional Seminar of INAOE, México (2-VI-2025)

  3. DJ Fernández
    Factorization method and soccer: from simple to fun (in Spanish)
    60th Anniversary of Physics Department, Cinvestav, México (9-VI-2021)

Artículos en español
  1. DJ Fernández
    Quinto aniversario luctuoso del Profesor Bogdan Mielnik
    Avance y Perspectiva, 31 de marzo de 2024

  2. M Castillo-Celeita, DJ Fernández, A Contreras-Astorga
    Método de factorización y grafeno: la máquina de Mielnik
    Avance y Perspectiva, 30 de noviembre de 2023

  3. DJ Fernández
    Sobre genealogías, primogenituras y algunas aventuras
    Avance y Perspectiva Vol. 1, No. 4 (2016)
    Republicado por Conexión Cinvestav: en memoria de Bogdan Mielnik, 23 de enero de 2019

  4. DJ Fernández
    Transformación de Darboux: herramienta para diseñar espectros en mecánica cuántica
    en Aspectos de Gravitación y Física-Matemática. Memorias del III Taller de la DGFM-SMF, Eds N Bretón, O Pimentel, J Socorro, Universidad de Guanajuato, México (2000)

  5. DJ Fernández
    Electrón atrapado en un campo magnético rotante
    Caos y sistemas dinámicos, G Gómez Alcaraz et al Eds, UAM-Azcapotzalco (DCBI), Mexico (1994) 309-311

  6. DJ Fernández, LM Nieto
    Mecánica cuántica en espacio fase para una partícula en un campo magnético rotante
    Memorias de la XXIII Reunión Bienal, Real Sociedad Española de Física, Spain (1991) 800-801

  7. DJ Fernández
    Manipulaciones sobre una partícula cargada en una trampa de Penning
    Memorias de la XXIII Reunión Bienal, Real Sociedad Española de Física, Spain (1991) 798-799

  8. DJ Fernández, MA del Olmo, M Santander
    Hamiltonianos periódicos, teoría de Floquet y fase de Berry
    Memorias de la XXIII Reunión Bienal, Real Sociedad Española de Física, Spain (1991) 796-797

  9. DJ Fernández, R García Cantú
    Premios Nobel 1989. Física: Átomos sin núcleo como nuevos patrones de tiempo
    Avance y Perspectiva Vol. 8, No. 40 (1989) 30-31

Cursos
  1. Mecánica Cuántica II (enero-mayo de 2026)
    Tarea 1 (Fecha de entrega: 30 de enero de 2026)
    Tarea 2 (Fecha de entrega: 13 de febrero de 2026)
    Primer examen parcial: 17 de febrero de 2026, 15 horas
    Tarea 3 (Fecha de entrega: 27 de febrero de 2026)
    Tarea 4 (Fecha de entrega: 17 de marzo de 2026)
    Tarea 5 (Fecha de entrega: 27 de marzo de 2026)
    Segundo examen parcial: 14 de abril de 2026, 15 horas
    Tarea 6 (Fecha de entrega: )
    Tarea 7 (Fecha de entrega: )
    Tercer examen parcial:
End