He is an Emeritus Professor of Theoretical Physics at the University of Salamanca (Spain). He obtained his Ph. D. at the University of Valladolid in 1973 in “Contact Conformal Transformations in two dimensional Models”. He was a Research Fellow at Harvard University in the period 1976-1978.
After that he obtained the Professorship at Salamanca in 1983. He retired in 2018. Information about his students can be found in: https://www.genealogy.math.ndsu.nodak.edu/.
He has been working for years in Nonlinear Classical and Quantum problems, Berry Phases, Squeezing of light and Group Theory. His research results have been published in more than 60 papers in peer-reviewed journals. In addition, he has supervised 5 PhD thesis students. He has been the leader or participant of more than 20 research projects funded by various public and private institutions.
PUBLICATIONS
Conformal elliptic UniversePramana , 96, 141 (2022) (2022)''
A Review in Ermakov Systems and Their Symmetries
Symmetry 13, 493 (2021) . https://doi.org/10.3390/sym13030493 (2021)''
A Note of Description on the Lie Algebra of the Invariants in the CBS Nonlinear Equation
New Insights into Physical Science Vol. 6. Chapter 4. 47-53 (2020) (2020)''
Solitons in a nonlinear model of spin transport in helical molecules
Phys. Rev. E 97, 022210 (2018)''
Spin dynamics in helical molecules with nonlinear interactions
New J. Phys. 20 (2018) 043055 (2018)''
Exact Propagator of a Two Dimensional Anisotropic Harmonic Oscillator in the Presence of a Magnetic Field
Journal of Modern Physics , 8, 500-510 (2017)''
Lump solitons in a higher-order nonlinear equation in 2 + 1 dimensions
PHYSICAL REVIEW E 93, 062219 (2016) (2016)''
The one dimensional Schrödinger equation: symmetries, solutions and Feynman propagators
Eur. J. Phys. 37 (2016) 055401 (2016)''
Exact transmission coefficient with one and two barriers in graphene
Journal of Physics A: Mathematical and Theoretical 46, 155304 (20pp) (2013)''
Solitary wavepackets from oscillatory non linear equations with damping
Nonlinear Dynamics 67, 63-69 (2012)''
The massless Dirac equation in the refrigerator
Int. J. Theor. Phys., 50, 2134-2143 (2011)''
The symmetry group of the quantum harmonic oscillator in an electric field
Cent Eur. J. Phys, 6, 671-684 (2008)''
One-dimensional disordered wires with Poschl-Teller potentials
Phys Rev B74, (2006), 104201 (2006)''
Continuum of stended states in the spectrum of a one dimensional random potential
Phys. Rev. B, 193312(4) (2005)''
Simple model for a quantum wireIII: Transmission in finite samples with correlated disorder
European Physical Journal, B43, 543-548 (2005)''
Absortion in atomic wires
Phys. Rev. A 70, 052705 (2004)''
Quantum gates and degenerations
J. Phys. A: Math. Gen. 37, 2465-2477 (2004)''
The band spectrum of periodic potentials with PT-symmetry
J. Phys. A: Math. Gen. 37, 10167-10177 (2004)''
PT-symmetry in one dimensional quantum periodic potentials
Physics Letters A 317, 26-31 (2003)''
Simple model for a quantum wire II: statistically correlated disorder
Eur. Phys. J. B 32, 537-543 (2003)''
Infinite chain of N different deltas: A simple model for a quantum wire
Eur. Phys. J. B. 30, 239-251, (2002) (2002)''
Intense laser interacting with a two level atom: WKB expressions for Dipole Transitions and Population Inversion.
Physics Letters, 293A, 1-9, (2002) (2002)''
Squeezing and Quantum Canonical Transformations.
International Journal of Theoretical Physics, 41, 503-510, (2002) (2002)''
Formalism and Examples of Squeezing and Dynamical Symmetries
Proceedings of the international workshop "Symmetries in Quantum Mechanics and Quantum Optics" , Burgos (Spain) Servicio de Publicaciones de la Universidad de Burgos. 97-108 (1999)''
Squeezing and dynamical symmetries: Formalism and examples
International Journal of Theoretical Physics 38, 2095 (1999)''
The Floquet analysis and noninteger higher harmonics generation
Journal of Mathematical Physics 40, 1738-1755 (1999)''
The time-dependent canonical formalism: Generalized harmonic oscillator and the infinite square well with a moving boundary
Europhysics Letters 45, 6-12 (1999)''
Vacuum radiation and Symmetry Breaking in Conformal Invariant Quantum Field Theory
Communications in Mathematical Physics 200, 325-354 (1999)''
Dynamical Symmetries, Cyclic and Periodic States
Journal of Physics A 31, 5507-5523 (1998)''
Miura Transformation between two Nonlinear Equations in (2+1)-Dimensions
Journal of Mathematical Physics 39, 2800-2807 (1998)''
Quantum Phases: Exact Solutions and Two Examples
Proceedings of the 5th International Conference on Squeezed States and Uncertainty Relations, Balatonfüred, Hungary, 27-31 May, 1997, (D. Han, J. Janszky, Y.S. Kim, and V.I. Man'ko, Eds.), NASA Proceedings, NASA/CP-1998-206855 (1998)''
Quantum Phases and the Degenerate Optical Parametric Oscillator
Quantum and Semiclassical Optics 9, L5-L11 (1997)''
Generalized Two-Mode Harmonic Oscillator: SO(3,2) Dynamical Group and Squeezed States
J. Phys. A: Math & Gen. 29, 7545-7560 (1996)''
Integrability of the Perturbed KdV Equation for Convecting Fluids: Symmetry Analysis and Solutions
Journal of Nonlinear Mathematical Physics 3, 1-23 (1996)''
Two Photon Interaction: SO(3,2) Symmetry and exact solutions
Int. Phys. Conf. Ser. 140, Section 9 201-204 IOP Publishing Ltd. (1995)''
The wind-round-tree model and the two-dimensional Lorentz gas
Physics Letters A 190, 434-438 (1994)''