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1

A simple method for constructing non-liouvillian first integrals of autonomous planar systems

Axel Schulze-Halberg

Journal:

Czechoslovak Mathematical Journal

Year:

2006

Language:

english

File:

PDF, 127 KB

english, 2006

2

Green’s functions and trace formulas for generalized Sturm–Liouville problems related by Darboux transformations

Schulze-Halberg, Axel

Journal:

Journal of Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 527 KB

english, 2010

3

Higher-order Darboux transformations and Wronskian representations for SchrÃ¶dinger equations with quadratically energy-dependent potentials

Schulze-Halberg, Axel

Journal:

Journal of Mathematical Physics

Year:

2020

Language:

english

File:

PDF, 4.94 MB

english, 2020

4

Two-parameter ladder operators for spherical Bessel functions

Jesús García-Ravelo, Axel Schulze-Halberg, José Juan Peña Gil, Alfonso Queijeiro

Journal:

Applied Mathematics Letters

Year:

2010

Language:

english

File:

PDF, 318 KB

english, 2010

5

Intertwining operator method and supersymmetry for effective mass Schrödinger equations

A.A. Suzko, A. Schulze-Halberg

Journal:

Physics Letters A

Year:

2008

Language:

english

File:

PDF, 212 KB

english, 2008

6

Exact solutions of the Fokker–Planck equation from an nth order supersymmetric quantum mechanics approach

Axel Schulze-Halberg, Jesús Morales Rivas, José Juan Peña Gil, Jesús García-Ravelo, Pinaki Roy

Journal:

Physics Letters A

Year:

2009

Language:

english

File:

PDF, 252 KB

english, 2009

7

Exactly solvable energy-dependent potentials

J. García-Martínez, J. García-Ravelo, J.J. Peña, A. Schulze-Halberg

Journal:

Physics Letters A

Year:

2009

Language:

english

File:

PDF, 182 KB

english, 2009

8

New exact solutions of the Dirac equation

S.K. Bose, A. Schulze-Halberg, M. Singh

Journal:

Physics Letters A

Year:

2001

Language:

english

File:

PDF, 53 KB

english, 2001

9

Arbitrary-order darboux transformations for position-dependent mass schrödinger equations with noncentral potential

Axel Schulze-Halberg, E. Zamora-Gallardo, J. J. Peña

Journal:

International Journal of Quantum Chemistry

Year:

2009

Language:

english

File:

PDF, 108 KB

english, 2009

10

Non-Existence of Liouvillian Solutions for a Free Quantum Particle on a Torus Surface, Part 1: Polar States

Axel Schulze-Halberg

Journal:

Foundations of Physics Letters

Year:

2004

File:

PDF, 659 KB

2004

11

Form-Preserving Transformations for Hamiltonians with Linear Terms in the Momentum

Axel Schulze-Halberg

Journal:

Foundations of Physics Letters

Year:

2005

Language:

english

File:

PDF, 283 KB

english, 2005

12

On Quasi-Exact Solvability of the Schrödinger Equation for a Free Particle on the Surface of a Spindle Torus

Axel Schulze-Halberg

Journal:

Foundations of Physics Letters

Year:

2005

Language:

english

File:

PDF, 279 KB

english, 2005

13

Two-dimensional Darboux transformations for non-separable angular equations and solvable non-central potentials

Axel Schulze-Halberg

Journal:

Journal of Mathematical Chemistry

Year:

2011

Language:

english

File:

PDF, 141 KB

english, 2011

14

Form-preserving Transformations for the Time-dependent Schrödinger Equation in (n+ 1) Dimensions

Axel Schulze-Halberg

Journal:

Mathematical Physics, Analysis and Geometry

Year:

2006

Language:

english

File:

PDF, 404 KB

english, 2006

15

Modified Darboux transformations with foreign auxiliary equations

Axel Schulze-Halberg

Journal:

Physics Letters A

Year:

2011

Language:

english

File:

PDF, 195 KB

english, 2011

16

Supersymmetry and Darboux transformations for the generalized Schrödinger equation

A. A. Suzko, A. Schulze-Halberg, E. P. Velicheva

Journal:

Physics of Atomic Nuclei

Year:

2009

Language:

english

File:

PDF, 598 KB

english, 2009

17

Quantum systems with effective and time-dependent masses: form-preserving transformations and reality conditions

Axel Schulze-Halberg

Journal:

Central European Journal of Physics

Year:

2005

Language:

english

File:

PDF, 246 KB

english, 2005

18

Supersymmetry of time-dependent Schrödinger equations with effective mass

Axel Schulze-Halberg

Journal:

Central European Journal of Physics

Year:

2008

Language:

english

File:

PDF, 234 KB

english, 2008

19

Generalized linear Schrödinger equations and their Darboux transformations

Axel Schulze-Halberg

Journal:

Central European Journal of Physics

Year:

2008

Language:

english

File:

PDF, 281 KB

english, 2008

20

Exact quantization formula for affine linearly energy-dependent potentials

Axel Schulze-Halberg

Journal:

Central European Journal of Physics

Year:

2011

Language:

english

File:

PDF, 275 KB

english, 2011

21

Exact Solutions of the Schrödinger Equation with Irregular Singularity

Axel Schulze-Halberg

Journal:

International Journal of Theoretical Physics

Year:

2000

Language:

english

File:

PDF, 278 KB

english, 2000

22

ON FINITE NORMAL SERIES SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH IRREGULAR SINGULARITY

Axel Schulze-Halberg

Journal:

Foundations of Physics Letters

Year:

2000

File:

PDF, 564 KB

2000

23

ON FINITE NORMAL SERIES SOLUTIONS OF RELATIVISTIC WAVE EQUATIONS

Axel Schulze-Halberg

Journal:

Foundations of Physics Letters

Year:

2000

File:

PDF, 398 KB

2000

24

Higher-order Darboux transformations with foreign auxiliary equations and equivalence with generalized Darboux transformations

Axel Schulze-Halberg

Journal:

Applied Mathematics Letters

Year:

2012

Language:

english

File:

PDF, 256 KB

english, 2012

25

Darboux transformations for (1+2)-dimensional Fokker-Planck equations with constant diffusion matrix

Schulze-Halberg, Axel

Journal:

Journal of Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 1.24 MB

english, 2012

26

Explicit formulas for generalized harmonic perturbations of the infinite quantum well with an application to Mathieu equations

García-Ravelo, J., Schulze-Halberg, A., Trujillo, A. L.

Journal:

Journal of Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 546 KB

english, 2012

27

Wronskian representation for confluent supersymmetric transformation chains of arbitrary order

Axel Schulze-Halberg

Journal:

The European Physical Journal Plus

Year:

2013

Language:

english

File:

PDF, 543 KB

english, 2013

28

Higher-dimensional realization of a nonlinear, one-parameter quantum oscillator

Axel Schulze-Halberg, John R. Morris

Journal:

The European Physical Journal Plus

Year:

2013

Language:

english

File:

PDF, 517 KB

english, 2013

29

Darboux Transformations for Energy-Dependent Potentials and the Klein–Gordon Equation

Axel Schulze-Halberg

Journal:

Mathematical Physics, Analysis and Geometry

Year:

2013

Language:

english

File:

PDF, 285 KB

english, 2013

30

Comment on “Nonsingular parametric oscillators Darboux-related to the classical harmonic oscillator” by Rosu H. C. et al.

Schulze-Halberg, Axel

Journal:

EPL (Europhysics Letters)

Year:

2013

Language:

english

File:

PDF, 175 KB

english, 2013

31

Darboux operators for linear first-order multi-component equations in arbitrary dimensions

Axel Schulze-Halberg

Journal:

Central European Journal of Physics

Year:

2013

Language:

english

File:

PDF, 1.21 MB

english, 2013

32

Explicit Darboux transformations of arbitrary order for generalized time-dependent Schrödinger equations

Schulze-Halberg, Axel, Pozdeeva, Ekaterina, Suzko, Alina

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2009

Language:

english

File:

PDF, 233 KB

english, 2009

33

A position-dependent mass model for the Thomas–Fermi potential: Exact solvability and relation to -doped semiconductors

Schulze-Halberg, Axel, García-Ravelo, Jesús, Pacheco-García, Christian, Juan Peña Gil, José

Journal:

Annals of Physics

Year:

2013

Language:

english

File:

PDF, 547 KB

english, 2013

34

Combined Sundman–Darboux transformations and solutions of nonlinear ordinary differential equations of second order

Schulze-Halberg, Axel

Journal:

Advances in Pure and Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 224 KB

english, 2012

35

DARBOUX TRANSFORMATIONS FOR TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH EFFECTIVE MASS

SCHULZE-HALBERG, AXEL

Journal:

International Journal of Modern Physics A

Year:

2006

Language:

english

File:

PDF, 234 KB

english, 2006

36

REALITY CONDITION FOR DARBOUX TRANSFORMATIONS OF TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH EFFECTIVE MASS

SCHULZE-HALBERG, AXEL

Journal:

International Journal of Modern Physics A

Year:

2006

Language:

english

File:

PDF, 212 KB

english, 2006

37

EQUIVALENCE OF TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH CONSTANT AND TIME-DEPENDENT MASS

SCHULZE-HALBERG, AXEL

Journal:

Modern Physics Letters A

Year:

2003

Language:

english

File:

PDF, 139 KB

english, 2003

38

EFFECTIVE MASS HAMILTONIANS WITH LINEAR TERMS IN THE MOMENTUM: DARBOUX TRANSFORMATIONS AND FORM-PRESERVING TRANSFORMATIONS

SCHULZE-HALBERG, AXEL

Journal:

International Journal of Modern Physics A

Year:

2007

Language:

english

File:

PDF, 346 KB

english, 2007

39

Effective Kratzer and Coulomb potentials as limit cases of a multiparameter exponential-type potential

García-Ravelo, J., Menéndez, A., García-Martínez, J., Schulze-Halberg, A.

Journal:

Physics Letters A

Year:

2014

Language:

english

File:

PDF, 332 KB

english, 2014

40

Form-Preserving Transformations of Time-Dependent Schrödinger Equation with Time- and Position-Dependent Mass

Schulze-Halberg, Axel

Journal:

Communications in Theoretical Physics

Year:

2005

Language:

english

File:

PDF, 278 KB

english, 2005

41

Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials

Schulze-Halberg, Axel, Roy, Barnana

Journal:

Annals of Physics

Year:

2014

Language:

english

File:

PDF, 300 KB

english, 2014

42

Two-dimensional generalized harmonic oscillators and their Darboux partners

Schulze-Halberg, Axel

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2011

Language:

english

File:

PDF, 6.59 MB

english, 2011

43

Intertwining relations and Darboux transformations for Schrödinger equations in (n+1) dimensions

Schulze-Halberg, Axel

Journal:

Journal of Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 351 KB

english, 2010

44

Two-dimensional magnetic Schrödinger equations, Darboux transformations and solutions of associated auxiliary equations

Schulze-Halberg, Axel

Journal:

Journal of Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 1.64 MB

english, 2012

45

An exactly solvable three-dimensional nonlinear quantum oscillator

Schulze-Halberg, A., Morris, J. R.

Journal:

Journal of Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 448 KB

english, 2013

46

Bound State Solutions of the Klein-Gordon Equation for the Mathews-Lakshmanan Oscillator

Schulze-Halberg, Axel, Wang, Jie

Journal:

Few-Body Systems

Year:

2014

Language:

english

File:

PDF, 260 KB

english, 2014

47

Darboux transformations for a generalized Dirac equation in two dimensions

Pozdeeva, Ekaterina, Schulze-Halberg, Axel

Journal:

Journal of Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 422 KB

english, 2010

48

Burgers equation with time-dependent coefficients and nonlinear forcing term: Linearization and exact solvability

Schulze-Halberg, Axel

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2015

Language:

english

File:

PDF, 674 KB

english, 2015

49

The generalized zero-mode supersymmetry scheme and the confluent algorithm

Contreras-Astorga, Alonso, Schulze-Halberg, Axel

Journal:

Annals of Physics

Year:

2015

Language:

english

File:

PDF, 353 KB

english, 2015

50

DARBOUX TRANSFORMATIONS FOR EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH ENERGY-DEPENDENT POTENTIALS

SCHULZE-HALBERG, AXEL

Journal:

International Journal of Modern Physics A

Year:

2008

Language:

english

File:

PDF, 144 KB

english, 2008