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Publication
list
♦ (with J. Carballo Jimenez),
Darboux transformations for the time-dependent nonhomogeneous
Burgers equation in (1+1) dimensions,
to appear in Phys. Scripta (2009)
♦ (with J. Carballo Jimenez),
Supersymmetry of generalized linear Schrödinger equations in (1+1) dimensions,
Symmetry 1 (2009), 115-144
♦ (with J. Garcia-Ravelo, J. Garcia Martinez and J. Pena),
Exactly solvable energy dependent potentials,
Phys. Lett. A 373 (2009), 3619-3623
♦ (with A. Suzko),
Darboux transformations and supersymmetry for generalized Schrödinger equations in (1+1) dimensions,
J. Phys. A 42 (2009), 295203-295217
♦ (with E. Pozdeeva and A. Suzko),
Explicit Darboux transformations of arbitrary order for generalized time-dependent Schrödinger equations,
J. Phys. A 42 (2009), 115211-115223
♦ (with J. Garcia-Ravelo, J. Morales, J. Pena and P. Roy),
Exact solutions of the Fokker-Planck equation from an n-th order supersymmetric quantum mechanics approach,
Phys. Lett. A 373 (2009), 1610-1615
♦ (with J. Garcia-Ravelo and J. Pena),
An implicit spectral formula for generalized linear Schrödinger equations,
Internat. J. Modern Phys. E 18 (2009), 1831-1844
♦ (with A. Suzko and E. Velicheva),
Supersymmetry and Darboux transformations for the generalized Schrödinger equation,
Physics of Atomic Nuclei 72 (2009), 858-865
♦ (with J. Pena and E. Zamora-Gallardo),
Arbitrary-order Darboux transformations for position-dependent mass Schrödinger equations with noncentral potential,
Int. J. Quant. Chem. 109 (2009), 1464-1471
♦ (with A. Suzko),
Intertwining operator method and supersymmetry for effective mass Schrödinger equations,
Phys. Lett. A 372 (2008), 5865-5871
♦ (with E. Pozdeeva),
Trace formula for Dirac Green's functions related by Darboux transformations,
J. Phys. A 41 (2008), 265201 (13pp)
♦ Generalized linear Schrödinger equations and their Darboux transformations,
Cent. Eur. J. Phys. 6 (2008), 654-661
♦ (with E. Pozdeeva),
Trace formula for Green's functions of effective mass Schrödinger equations and N-th order Darboux transformations,
Internat. J. Modern Phys. A 23 (2008), 2635-2647
♦ Darboux transformations for effective mass Schrödinger equations with energy-dependent potentials,
Internat. J. Modern Phys. A 23 (2008), 537-546
♦ Supersymmetry of time-dependent Schrödinger equations with effective mass,
Cent. Eur. J. Phys. 6 (2008), 153-157
♦ Reduction of time-dependent Schrödinger equations with effective mass to stationary Schrödinger equations,
Research Letters in Physics (2008), DOI:10.1155/2008/589269
♦ Darboux transformations for N-dimensional effective mass Schrödinger equations with hyperspherical symmetry,
Internat. J. Modern Phys. A 22 (2007), 3293-3304
♦ Fractional Darboux transformations are point canonical transformations,
Il Nuovo Cimento B 121 (2007), 1025-1028
♦ Form-preserving transformations for the time-dependent Schrödinger equation in (n+1) dimensions,
Math. Physics, Analysis and Geometry 9 (2007), 371-388
♦ Fractional Darboux transformations for the time-dependent Schrödinger equation,
International Journal of Pure and Applied Mathematics 37 (2007), 489-506
♦ New exact solutions of the non-homogeneous Burgers equation in (1+1) dimensions,
Phys. Scr. 75 (2007), 531-536
♦ Effective mass Hamiltonians with linear terms in the momentum: Darboux transformations and form-preserving transformations,
International J. Modern Phys. A 22 (2007), 1735-1769
♦ Form-preserving transformations of the time-dependent Klein-Gordon equation and the generation of solvable potentials,
Phys. Scripta 74 (2006), 452-458
♦ Exactly solvable combinations of scalar and vector potentials for the Dirac equation interrelated by Riccati equations,
Chinese Phys. Lett. 23 (2006), 1365-1368
♦ Reality condition for Darboux transformations of time-dependent Schrödinger equations with effective mass,
Internat. J. Modern Phys. A 21 (2006), 4853-4868
♦ A simple method for constructing non-liouvillian .rst integrals of autonomous planar systems,
Czechoslovak Math. J. 56 (2006), 987-999
♦ (with D. Stoffer and A. Aschwanden),
Stable periodic solutions for delay equations with positive feedback - a computer-assisted proof,
Discrete Contin. Dyn. Syst. 14 (2006), 721-736
♦ Darboux transformations for time-dependent Schrödinger equations with effective mass,
Internat. J. Modern Phys. A 21 (2006), 1359-1377
♦ Quantum systems with effective and time-dependent masses: form-preserving transformations and reality conditions,
Cent. Eur. J. Phys. 3 (2005), 591-609
♦ Comment on: D.-Y. Song and J.R. Klauder, "Generalization of the Darboux transformation and generalized harmonic oscillators", J. Phys. A 36 (2003), no. 32, 8673-8684,
J. Phys. A 38 (2005), 5831-5836
♦ Form-preserving transformations for Hamiltonians with linear terms in the momentum,
Found. Phys. Lett. 18 (2005), 535-548.
♦ On quasi-exact solvability of the Schrödinger equation for a free particle on the surface of a spindle torus,
Found. Phys. Lett. 18 (2005), 291-300
♦ Form-preserving transformations of the time-dependent Schrödinger equation with time and position-dependent mass,
Commun. Theor. Phys. 43 (2005), 657-665
♦ Orbitally asymptotically stable periodic solutions of delay equations with positive feedback,
Mitt. Math. Sem. Giessen 252 (2003), 1-106 and
Mitt. Math. Sem. Giessen 254 (2004), 48-90
♦ Exact wavefunctions and energies of a non-relativistic free quantum particle on the surface of a degenerate torus,
Modern Phys. Lett. A 19 (2004), 1759-1766
♦ Non-existence of liouvillian solutions for a free quantum particle on a torus surface, part 1: polar states,
Found. Phys. Lett. 17 (2004), 677-690
♦ N-multiplets of the radial Dirac equation,
Chinese J. Phys. 42 (2004), 234-242
♦ Quasi-exactly solvable potentials of the radial Dirac equation with two known levels,
Chinese J. Phys. 42 (2004), 117-126
♦ A new formula to obtain exact Green's functions of the time-dependent Schrödinger equation,
Commun. Theor. Phys. 41 (2004), 723-725
♦ Exact solutions of the time-dependent Schrödinger equation with time-dependent mass generated by functional and coordinate transformations,
Hadronic J. 27 (2004), 485-498
♦ Functional transformation of the time-dependent Schrödinger equation with time- and spatially dependent mass,
Hadronic J. 26 (2003), 707-714
♦ Equivalence of time-dependent Schrödinger equations with constant and time-dependent mass,
Modern Phys. Lett. A 18 (2003), 2829-2835
♦ Hidden symmetry in quasi-exactly solvable fractional power potentials,
Progr. Theoret. Phys. 110 (2003), 1235-1240
♦ (with S.K. Bose),
Improved SUSY inspired variational method to obtain bound state energies of the screened Coulomb potential,
Modern Phys. Lett. A 18 (2003), 853-857
♦ A method of generating exact solutions of the time-dependent Schrödinger equation with time-dependent mass,
Modern Phys. Lett. A 17 (2002), 1567-1573
♦ Closed-form solutions of the Schrödinger equation for a particle on the torus,
Found. Phys. Lett. 15 (2002), 585-589
♦ General solution of a system of di.erential equations modeling a class of exactly-solvable potentials, part 2: extended results,
Proc. Estonian Acad. Sci. Phys. Math. 51 (2002), 179-193
♦ Quasi-exactly solvable singular fractional power potentials emerging from the triconfluent Heun equation,
Phys. Scripta 65 (2002), 373-376
♦ A class of exact solutions of the time-dependent Schrödinger equation with time-dependent mass,
Modern Phys. Lett. A 16 (2002), 2557-2566
♦ The central symmetric screened Coulomb potential in N dimensions,
Hadronic J. 24 (2001), 519-530
♦ (with S.K. Bose and M. Singh),
New exact solutions of the Dirac equation,
Phys. Lett. A 287 (2001), 321-324
♦ Comment on Phys. Scripta 60, 195 (1999),
Phys. Scripta 64 (2001), 96
♦ General solution of a system of di.erential equations modeling a class of exactly-solvable potentials,
Proc. Estonian Acad. Sci. Phys. Math. 50 (2001), 42-48
♦ On normalizability of zero energy solutions of the Schrödinger equation,
Hadronic J. 23 (2000), 683-687
♦ (with S.K. Bose),
Exact solution of the Dirac equation for a singular central power potential,
Modern Phys. Lett. A 15 (2000), 1583-1588
♦ Exact solutions of the Schrödinger equation with irregular singularity,
Internat. J. Theoret. Phys. 39 (2000), 2305-2325
♦ (with S.K. Bose),
Properties of an algebraic transformation for 1D Schrödinger potentials,
Phys. Scripta 62 (2000), 241-247
♦ (with S.K. Bose),
An interesting and useful transformation for the nonrelativistic Schrödinger equation,
Hadronic J. 23 (2000), 249-257
♦ On finite normal series solutions of relativistic wave equations,
Found. Phys. Lett. 13 (2000), 265-277
♦ On finite normal series solutions of the Schrödinger equation with irregular singularity,
Found. Phys. Lett. 13 (2000), 11-27
♦ Exact bound states for the symmetric screened Coulomb potential,
Phys. Scripta 61 (2000), 641-645
♦ Exact algebraic bound states for the potential V (r) = k2/r2 + k3/r3 + k4/r4,
Hadronic J. 22 (1999), 343-350
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