Luis M. Nieto's Home Page

Luis-Miguel NIETO (e-mail)
Profesor Titular de Física Teórica (acreditado para CAUN)/ Associate Professor of Theoretical Physics

Dirección / Postal Address:

Departamento de Física Teórica, Atómica y Óptica
Facultad de Ciencias
Universidad de Valladolid
47071 Valladolid, España / Spain
Teléfono / Phone: (34) 983 42 37 54

Fax: (34) 983 42 30 13

|| Investigación || Publicaciones || Docencia ||
|| Research || Articles || Teaching ||

Investigación / Research (Hirsch h index = 13)

A)  Principales temas de trabajo / Main research topics:

  1. Mecánica cuántica supersimétrica. Supersymmetric Quantum Mechanics.
  2. Problemas con masa dependiente de la posición en mecánica cuántica. Position-dependent mass problems in Quantum Mechanics.
  3. Técnicas algebraicas en Óptica Cuántica: el modelo de Jaynes-Cummings. Algebraic techniques in Quantum Optics: the Jaynes-Cummings model.
  4. Soluciones viajeras de ecuaciones diferenciales en derivadas parciales no lineales de segundo orden. Travelling wave solutions of second order nonlinear partial differential equations.
  5. Simetrías de sistemas físicos en espacios de curvatura constante. Symmetries of physical systems in spaces of constant curvature.
  6. Cálculos exactos en Física Atómica. Exact calculations in Atomic Physics.
  7. Mecánica Cuántica en el espacio de fases y sus aplicaciones. Phase Space Quantum Mechanics and applications.
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B)  Proyectos de investigación financiados actualmente en curso / Recent funding:

  1. ``Nuevos retos en Física Matemática: integrabilidad, simetrías y dinámica no lineal de sistemas clásicos y cuánticos'' (2008-10). Programa de apoyo a Grupos de Investigación de Excelencia. Junta de Castilla y León (Spain), GR224.Director: Prof. M. Santander.
  2. ``Integrabilidad y simetrías en sistemas clásicos y cuánticos: aspectos formales y aplicaciones (MTM2009-10751)'' (2010-12). Convocatoria de ayudas para la realización de Proyectos de Investigación Fundamental no orientada. Ministerio de Ciencia e Innovación  (Spain), GR224.Director: Prof. L.M. Nieto.
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C)  Colaboradores científicos / Scientific co-workers:

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D)  Becas para estudios en España / Grants in Spain:

Para información sobre becas (tanto para realizar el doctorado como becas postdoctorales), véase la siguiente página web: http://metodos.fam.cie.uva.es/~doctorado/ Our research group is very happy to receive good students from all around the world. Please check the following web page (in Spanish): http://metodos.fam.cie.uva.es/~doctorado/, or contact directly Prof. Nieto by e-mail. The information concerning the sabbatical stays can be found (in Spanish) in the web of the Ministry of Education of Spain (http://www.educacion.es/convocatorias/sabaticosextranjeros). Please contact directly Prof. Nieto by e-mail.
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E)  Artículos / Papers

  2. M. Gadella, L.M. Nieto, J.M. Noriega and E. Santos, ``The Generalized Weyl correspondence and time dependent stochastic processes'', J. Math. Phys. 28, 2961-2972 (1987).
  3. L.M. Nieto and J.M. Noriega, ``Phase-Space Propagators for Quantum Quadratic Hamiltonians in One and Two Dimensions'', Int. J. Th. Phys. 27 (9), 1043-1058 (1988).
  4. M. Gadella, J.M. Gracia-Bondía, L.M. Nieto and J.C. Várilly, ``Quadratic Hamiltonians in phase-space quantum mechanics'', J. Phys. A 22, 2709-2738 (1989).
  5. L.M. Nieto, ``Phase-space study of a spinning quantum particle in a constant magnetic field'', J. Phys. A 24, 1579-1585 (1991).
  6. M. Gadella, M.A. Martín, L.M. Nieto and M.A. del Olmo, ``The Stratonovich-Weyl correspondence for one-dimensional kinematical groups'', J. Math. Phys. 32, 1182-1192 (1991).
  7. D. J. Fernández C. and L.M. Nieto, ``Penning trap from the phase space quantum mechanics point of view'', Phys. Lett. A. 157, 315-319, (1991).
  8. D. J. Fernández C. and L.M. Nieto, ``Floquet Theory in Phase Space Quantum Mechanics for an electron in a  rotating magnetic field'', Phys. Lett. A. 161, 202-206, (1991).
  9. M. Gadella, M.A. Martín, L.M. Nieto and M.A. del Olmo, ``The Stratonovich-Weyl correspondence for a particle in a constant magnetic field'', in Quantum Field Theory, Quantum Mechanics and Quantum Optics. Proceedings of the Lebedev Physics Institute. Academy of Sciences of the USSR, Ed. Nuova Science, Vol 187, 205-208 (1992).
  10. D. J. Fernández C., L.M. Nieto, M.A. del Olmo and M. Santander, ``Aharonov-Anandan Geometric Phase for 1/2 Spin Periodic Hamiltonians'', J. Phys. A 25, 5151-5163 (1992).
  11. L.M. Nieto, ``Green's function for crossed time-dependent electric and magnetic fields.  Phase-space quantum mechanics approach'', J. Math. Phys. 33, 3402-3409 (1992).
  12. V. Hussin and L.M. Nieto, ``Supergroups factorisations through matrix realizations'', J. Math. Phys. 34, 4199-4220 (1993).
  13. M. Gadella and L.M. Nieto, ``Fermion systems and the  Moyal formulation of quantum mechanics'', J. Phys. A 26, 6043-6053 (1993).
  14. A. Ballesteros, M. Gadella, M.A. Martín, L.M. Nieto, and M.A. del Olmo, ``On the Moyal quantization of finite dimensional systems'', in Anales de Física. Monografías. Vol I, J. Mateos, M.A. del Olmo, and M. Santander (Eds.), pp. 331-334 (1993).
  15. V. Hussin and L.M. Nieto, ``Factorization method for the supergroup OSP(m/n)'', in Anales de Física. Monografías. Vol II, J. Mateos, M.A. del Olmo, and M. Santander (Eds.), pp. 257-260 (1993).
  16. M. Gadella and L.M. Nieto, ``Phase space quantum mechanics study of two identical particles in an external oscillatory potential'', in NASA Conference Publication 3197, pp. 29-34. P. Hahn, Y.S. Kim, and W.W. Zachary (Eds.). Washington D.C. (1993).
  17. A.M. El Gradechi, V. Hussin and L.M. Nieto, ``Supersymmetry and Coherent States'', in Quantization and Coherent States Methods, S.T. Ali, I.M. Mladenov and A. Odzijewicz (Eds.), World Scientific, Singapore, pp. 218-221 (1993).
  18. M. Gadella and L.M. Nieto, ``On the Moyal formulation of quantum identical particles'',  Fortschr. Phys. 42, 261-279 (1994).
  19. David J. Fernández C., V. Hussin and L.M. Nieto, ``Coherent  States for Isospectral Oscillator Hamiltonians'', J. Phys. A 27, 3547-3564 (1994).
  20. V. Hussin and L.M. Nieto, ``From super Lie algebras to supergroups: matrix realizations and the factorisation problem'', in Noncompact Lie Groups and Some of Their Physical Applications, E.A. Tanner and R. Wilson (Eds.), Kluwer, Amsterdam, pp. 367-372 (1994).
  21. Y. Bérubé-Lauzière, V. Hussin and L.M.Nieto, ``Annihilation Operators and Coherent  States for the Jaynes-Cummings Model'', Phys. Rev. A 50, 1725-1731 (1994).
  22. David J. Fernández C., Luis M. Nieto and Oscar Rosas-Ortiz, ``Distorted Heisenberg Algebra and Coherent States for Isospectral Oscillator Hamiltonians'', J. Phys. A 28, 2693-2708 (1995).
  23. A.M. El Gradechi and Luis M. Nieto, ``Supercoherent States, Super Kähler Geometry and Geometric Quantization'', Commun. Math. Phys. 175, 521-563 (1996).
  24. J. Negro and Luis M. Nieto, ``Symmetries of the wave equation in  a uniform lattice'', J. Phys. A 29, 1107-1114 (1996).
  25. R. Floreanini, J. Negro, Luis M. Nieto and L. Vinet, ``Symmetries of the heat equation on the lattice'', Lett. Math. Phys. 36, 351-355 (1996).
  26. L.M. Nieto, J. Negro, and M. Santander, ``Two dimensional Cayley-Klein algebras generated by expansions'', Int. J. Mod. Phys. A 12, 259-264 (1997).
  27. M. Santander, L.M. Nieto and N. Cordero,``A curvature based derivation of the Schwarzschild metric'', Am. J. Phys. 65, 1200-1209 (1997).
  28. D.J. Fernández C., M.L. Glasser, and L.M. Nieto, ``New  Isospectral  Oscillator Potentials'', Phys. Lett. A 240,  15-20 (1998).
  29. L.M. Nieto, N.M. Atakishiyev, S.M. Chumakov, and K.B. Wolf, ``Wigner Distribution Function for Euclidean Systems'', J. Phys. A 31, 3875-3895  (1998).
  30. I.F. Márquez, J. Negro, and L.M. Nieto, ``Factorization Method and Singular Hamiltonians'', J. Phys. A 31, 4115-4125  (1998).
  31. K.B. Wolf, N.M. Atakishiyev, S.M. Chumakov, and L.M.  Nieto, ``Wigner Operator and Function for Various  Optical  Systems'', Phys. Atom. Nucl. 31, 1713-1721 (1998).
  32. N.H. March, L.M. Nieto, C. Amovilli, L.C. Balbás, and  M.L. Glasser, ``Slater sum for central field problems charaterized  by  its s-wave component alone'',  J. Math. Phys. 40, 2671-2679 (1999).
  33. J.I. Díaz, J. Negro, L.M. Nieto, and O. Rosas-Ortiz, ``The supersymmetric modified Pöschl-Teller and delta-well potential'', J. Phys. A 32, 8447-8460 (1999).
  34. L.M. Nieto, M. Santander, and H.C. Rosu, ``Hydrogen atom as an eigenvalue problem in 3-D spaces of constant curvature and minimal length'', Mod. Phys. Lett. A 14, 2463-2469 (1999).
  35. A. Ballesteros, F.J. Herranz, J. Negro, L.M. Nieto, and C.M. Pereña (Eds.), ``Symmetries in Quantum Mechanics and Quantum Optics'', Servicio de Publicaciones de la Universidad de Burgos (1999). ISBN: 84-95211-08-4.
  36. B. Mielnik, L.M. Nieto, and O. Rosas-Ortiz, ``The finite difference algorithm for higher order supersymmetry'', Phys. Lett. A 269, 70-78 (2000).
  37. A. Ballesteros, F.J. Herranz, J. Negro, and L.M. Nieto, ``Twist maps for non-standard  quantum algebras and discrete Schrödinger symmetries'', J. Phys. A 33, 4859-4870 (2000).
  38. J. Negro, L.M. Nieto, and O. Rosas-Ortiz, ``Refined Factorizations of Solvable Potentials'', J. Phys. A 33, 7207-7215 (2000).
  39. J. Negro, L.M. Nieto, and  D.J. Fernández C., ``Darboux transformations for Lamé potentials'', Czech. J. Phys. 50, 1303-1308 (2000).
  40. D.J. Fernández C., J. Negro, and L.M. Nieto, ``Second order supersymmetric periodic potentials'', Phys. Lett. A 275, 338-349 (2000).
  41. L.M. Nieto, J. Negro, F.J. Herranz, and A. Ballesteros, ``Symmetries of the Discrete Schrödinger Equation and its Quantum Deformations'', in CRM Proceedings and Lecture Notes Series, American Mathematical Society, D. Levi and O. Ragnisco (Eds.), 25, 329-338 (2000).
  42. J. Negro, L.M. Nieto, and O. Rosas-Ortiz, ``Confluent hypergeometric equations and related solvable potentials in quantum mechanics'', J. Math. Phys. 41, 7964-7996 (2000).
  43. N.H. March, L.M. Nieto, and M.P. Tosi, ``Momentum distribution of harmonically confined  Fermions'', Physica B: Condensed Matter 293, 308-316 (2001).
  44. N.H. March, and L.M. Nieto, ``Analytical relations between kinetic-energy and particle  densities for one-dimensional harmonically confined Fermi vapors'', Phys. Rev. A 63, 044502 (2001).
  45. L.M. Nieto, B. Mielnik, and J.O. Rosas-Ortiz, ``Some connections between different supersymmetric approaches in Quantum Mechanics'', in Actas del VIII Encuentro de Oto\~no de Geometría y Física\/}, M.A. del Olmo and M. Santander (Eds.), RSME, Vol. II, 237-251 (2001).
  46. F.J. Herranz, A. Ballesteros, J. Negro, and L.M. Nieto, ``A Quantum Algebra Approach to Discrete Equations on Uniform Lattices'', Czech. J. Phys. 51, 321-330 (2001).
  47. N.H. March, and L.M. Nieto, ``Some specific solutions of a generalized Emden equation, embracing Thomas-Fermi-like theories'', J. Phys. A 34, L341-L345 (2001).
  48. N.H. March and L.M. Nieto, ``Functional differentiation, line integration and departures from homogeneity of the single-particle kinetic energy functional for one-dimensional systems of N Fermions'', J. Math. Phys. 42, 3361-3371 (2001).
  49. I. Howard, N.H. March, and L.M. Nieto, ``The determination of the Dirac density matrix of the d-dimensional harmonic oscillator for an arbitrary number of closed shells'', J. Phys. A 35, 4985-4997 (2002).
  50. J. Negro, L.M. Nieto, and O. Rosas-Ortiz, ``On a class of supersymmetric quantum mechanical singular potentials'', in Foundations of Quantum Physics, R. Blanco et al (Eds.), Anales de Física, Monografías, Real Sociedad Española de Física, 259-270  (2002).
  51. I. Howard, N.H. March, and L.M. Nieto, ``Complete functional theory for the fermion density of independent particles subject to harmonic confinement in d dimensions for an arbitrary number of closed shells'', Phys. Rev. A 66, 054501 (1-4) (2002).
  52. L.M. Nieto,  A. A. Pecheritsin, and B.F. Samsonov, ``Intertwining technique for the one-dimensional stationary Dirac equation'', Ann. Phys. NY 305, 151-189 (2003).
  53. I.A. Howard, I.V. Komarov, N.H. March, and L.M. Nieto, ``An exactly solvable model where properties of a Fermion assembly are dominated by the highest occupied level: case of harmonic confinement in d dimensions'', J. Phys. A 36, 4757-4762 (2003).
  54. J.O. Rosas, J. Negro, and L.M. Nieto, ``Physical sectors of the confluent hypergeometric functions space'', Rev. Mex. Fis. 49 S1, 88-94 (2003).
  55. B.F. Samsonov, M.L. Glasser, J. Negro and L.M. Nieto, ``Second order Darboux displacements", J. Phys. A 36 10053-10069 (2003).
  56. V. Hussin and L.M. Nieto, ``The Jaynes-Cummings model and raising and lowering operators'', in Proceedings of the 24th International Colloquium on Group Theoretical Methods in Physics, J-P Gazeau et al (Eds.), Institute of Physics Conference Series Number 173, 557-560 (2003).
  57. M.L. Glasser, L.M. Nieto and B.F. Samsonov, ``Supersymmetric manipulation of quasienergy states. Application to the geometric phase", J. Phys. A 36 L585-L591 (2003).
  58. L.M. Nieto, B.F. Samsonov,  and A.A. Suzko, ``Intertwinning technique for a system of  difference Schrödinger equations and  new  exactly solvable multichannel potentials", J. Phys. A 36 12293-12304 (2003).
  59. J.M. Carballo, D.J. Fernández C., J. Negro, and L.M. Nieto, ``Polynomial Oscillator-like Algebras'', in Proceedings of the 8th International Conference on Squeezed States and Uncertainty Relations, H. Moya-Cessa et al (Eds.), Rinton Press Inc, 73-79 (2003).
  60. D.J. Fernández C., J. Negro, and L.M. Nieto, ``Elementary systems with partial finite ladder spectra'', Phys. Lett. A 324 139-144 (2004).
  61. J. Negro, L.M. Nieto, and O. Rosas-Ortiz, ``Regularized Scarf potentials: energy band structure and supersymmetry", J. Phys. A 37 10079-10093 (2004).
  62. J.M. Carballo, D.J. Fernández C., J. Negro, and L.M. Nieto, ``Polynomial Heisenberg Algebras", J. Phys. A 37 10349-10362 (2004).
  63. J. Mateo, L.M. Nieto and B.F. Samsonov, ``Supersymmetric transformation of the quasienergy spectrum for a time-dependent harmonic oscillator'', in Proceedings of the Conference Symmetries in Gravity and Field Theory, V. Aldaya, J.M. Cerveró and P. García (Eds.), Ed. U. Salamanca, 173-202 (2004).
  64. I. Aref'eva, D.J. Fernández, V. Hussin, J. Negro, L.M. Nieto, and B.F. Samsonov (Eds.), ``Progress in Supersymmetric Quantum Mechanics'', J. Phys. A 37, Num. 43 10007-10458 (2004).
  65. N.H. March and L.M. Nieto, ``Non-relativistic and relativistic electron liquids confined by a linear potential", Phys. Chem. Liq. 43 225-237 (2005).
  66. M.L. Glasser and L.M. Nieto, ``Solvable Quantum Two-body Problem: Entanglement", J. Phys. A 38 L455-L462 (2005).
  67. K. Bencheikh, L.M. Nieto and M. Maamache,  ``Derivation of the differential equation for the Slater sum and of the differential virial theorem using the Wigner transform'', J. Phys. A 38 7989-7996 (2005).
  68. V. Hussin and L.M. Nieto,  ``Ladder operators and coherent states for the Jaynes-Cummings model in the rotating-wave approximation'', J. Math. Phys. 46 122102 (2005).
  69. L.M. Nieto, ``Coherent and Supercoherent States with Some Recent Applications'', in O. Rosas-Ortiz, M. Carbajal and O. Miranda (Eds), Cinvestav Advanced Summer School, AIP Conf. Proc. Vol. 809, Melville, NY, 3-23 (2006).
  70. N.H. March, J. Negro and L.M. Nieto, ``Kinetic energy and ground-state electron densities as fingerprints of wave function entanglement in two-electron spin-compensated atomic models'', J. Phys. A 39 3741-3751 (2006).
  71. M.V. Ioffe, S. Kuru, J. Negro and L.M. Nieto, ``SUSY approach to Pauli Hamiltonians with an axial symmetry'', J. Phys. A 39 6987-7001 (2006).
  72. M.V. Ioffe, J. Negro, L.M. Nieto, and D. Nishnianidze, ``New two-dimensional integrable quantum models from SUSY intertwining'', J. Phys. A 39 9297-9308 (2006).
  73. P.G. Estevéz, S. Kuru, J. Negro and L.M. Nieto, ``Travelling wave solutions of two-dimensional Korteweg-de Vries-Burgers and Kadomtsev-Petviashvili equations'', J. Phys. A 39 11441-11452 (2006).
  74. A. Ganguly, S. Kuru, J. Negro and L.M. Nieto, ``A study of the bound states for square potential wells with position-dependent mass'', Phys. Lett. A 360 228-233 (2006).
  75. A. Ganguly, M.V. Ioffe and L.M. Nieto, ``A new effective mass Hamiltonian and associated Lamé equation: bound states'', J. Phys. A 39 14659-14680 (2006).
  76. O. Cornejo-Pérez, J. Negro, L.M. Nieto and H.C. Rosu,  ``Travelling-wave solutions for Korteweg-de Vries-Burgers equations through factorizations'', Found. Phys. 36 1587-1599 (2006).
  77. J.L. Gutiérrez-Villanueva, A. Martín-Martín, and L.M. Nieto (Eds.),  ``Contributions presented at the Vth International Workshop `Natural Radiation and Environment''', CD prepared by LIBRA and Servicio de Publicaciones de la Universidad de Valladolid (2006). ISBN: 84-690-2368-8.
  78. F. Correa, M.S. Plyushchay and L.M. Nieto, ``Hidden supersymmetry of Lamé Equation'', Phys. Lett. B 644 94-98 (2007).
  79. N.H. March and L.M. Nieto, ``Feynman propagator, density matrices and Green functions for the inhomegeneous electron liquid generated by a bare Coulomb potential in two dimensions'', Phys. Chem. Liq. 45 295-305 (2007).
  80. A. Ganguly and L.M. Nieto, ``Shape-invariant quantum Hamiltonian with position-dependent effective mass through second order supersymmetry'', J. Phys. A: Math. Theor. 40 7265-72818 (2007).
  81. M.L. Glasser and L.M. Nieto, ``Electron capture by an electric dipole in two dimensions", Phys. Rev. A 75 062109 (1-5) (2007).
  82. P.G. Estévez, S. Kuru, J. Negro and L.M. Nieto, ``Factorization of a class of almost linear second order differential equations'', J. Phys. A: Math. Theor. 40 9819-9824 (2007).
  83. S. Cruz y Cruz, J. Negro and L.M. Nieto, ``Classical and quantum position-dependent mass oscillators'', Phys. Lett. A 369 400-406 (2007).
  84. K. Bencheikh and L.M. Nieto,  ``On the density profile in Fourier space of a harmonically trapped ideal Fermi gas in d dimensions'', J. Phys. A: Math. Theor. 40 13503-13510 (2007).
  85. F. Correa, L.M. Nieto, and M.S. Plyushchay ``Hidden nonlinear su(2|2) superunitary symmetry of N=2 superextended 1D Dirac delta potential problem'', Phys. Lett. B 659 746-753 (2008).
  86. I. Howard, N.H. March, and L.M. Nieto, ``Momentum distribution, x-ray scattering factor and off-diagonal electron density generated by a bare Coulomb potential in the non-relativistic limit of a large number of closed shells'', Phys. Rev. A 77, 032504 (1-8) (2008).
  87. F. Correa, V. Jakubský, L.M. Nieto, and M.S. Plyushchay ``Self-isospectrality, special supersymmetry, and their effect on the band structure'', Phys. Rev. Lett. 101, 030403 (1-4) (2008).
  88. P.A. Colgan, J.P. McLaughlin, and L.M. Nieto (Eds)., ``Natural Radiation and Environment'', J. Env. Radiact. 99, 1519-1588 (2008).
  89. J.J. Álvarez-Sánchez, J.V. Álvarez-Bravo, and L.M. Nieto, ``A quantum architecture for multiplying signed integers'', J. Phys.: Conf. Series 128, 012013 (2008).
  90. S. Cruz y Cruz, J. Negro and L.M. Nieto, ``On position-dependent mass harmonic oscillators'', J. Phys.: Conf. Series 128, 012053 (2008).
  91. K. Bencheikh and L.M. Nieto, ``Wigner-transform phase-space densities of a two-dimensional harmonically confined charged quantum gas subjected to a magnetic field'', Phys. Rev. A 78, 053614 (1-9) (2008).
  92. M. Gadella, J. Negro and L.M. Nieto, ``Bound states in the -a&delta(x)+bδ'(x) interaction'', Phys. Lett. A 373, 1310-1313 (2009).
  93. M.L. Glasser, N.H. March and L.M. Nieto, ``Exchange energy density in density-functional theory via the Dirac density matrix for a nonrelativistic 10-electron atomic ion compared with Becke's proposal for a gradient-corrected local-density-approximation result", Phys. Rev. A 79, 042506 (1-7) (2009).
  94. N.H. March and L.M. Nieto, ``Bloch equation for the canonical density matrix in terms of its diagonal element: the Slater sum", Phys. Lett. A 373, 1691-1692 (2009).
  95. P.G. Estévez, S. Kuru, J. Negro and L.M. Nieto, ``Travelling wave solutions of the Benjamin-Bona-Mahony equation'', Chaos, Solitons and Fractals, 40, 2031-2040 (2009).
  96. M.L. Glasser, J. Mateo, J. Negro and L.M. Nieto, ``Quantum infinite square well with an oscillating wall'', Chaos, Solitons and Fractals, 41, 2067-2074 (2009).
  97. J.J. Álvarez-Sánchez, M. Gadella, F.J.H. Heras and L.M. Nieto, ``A one-dimensional model of resonances with a delta potential barrier and mass jump'', Phys. Lett. A, accepted (2009).
  98. M. Gadella, F.J.H. Heras, J. Negro and L.M. Nieto, ``Delta well with a mass jump'', J. Phys. A: Math. Theor., submitted (2009).
  99. S. Kuru, J. Negro and L.M. Nieto, ``Exact analytic solutions for a Dirac electron in graphene under magnetic fields'', J. Phys.: Condens. Matter, submitted (2009).
  100. P.G. Estévez, S. Kuru, J. Negro and L.M. Nieto, ``Factorization of a class of Duffing oscillators with variable coefficients'', Phys. Lett. A, submitted (2009).
  101. M.L. Glasser, N.H. March and L.M. Nieto, ``Exchange energy for two closed shells generated by a bare Coulomb Potential energy -Ze^2/r in the limit of large Z, in two dimensions'', J. Phys. A: Math. Theor., submitted (2009).
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Docencia / Teaching (2009-10)

(A) Cursos ordinarios en la Licenciatura en Física de la Universidad de Valladolid:

Primer Cuatrimestre / First Term (lecturing in Spanish):

Segundo Cuatrimestre / Second Term (lecturing in English):


Tutorías: Lunes a jueves de 15:45 a 16:45, martes y jueves de 13:00 a 14:00.

  Libros / Books

  1. M. Gadella y L.M. Nieto, ``MÉTODOS MATEMÁTICOS AVANZADOS PARA CIENCIAS E INGENIERÍAS'', Servicio de Publicaciones de la Universidad de Valladolid (2000). ISBN 84-8448-033-X.

(B) Programa de Doctorado Interuniversitario (Burgos-Valladolid) ``Física Matemática y computacional''

Coordino este Programa de Doctorado, del que puede obtenerse información en la página web: http://metodos.fam.cie.uva.es/~doctorado/. Además imparto el curso

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September 9, 2009.

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