13 Publications
2013
An exactly solvable three-dimensional nonlinear quantum oscillator
Schulze Halberg, Axel and Morris, J. R
Journal of Mathematical Physics, vol. 54, (no. 11), Nov 2013. | Journal Article
 
Spectral properties of a confined nonlinear quantum oscillator in one and three dimensions
Schulze Halberg, Axel and Gordon, Christopher R
Journal of Mathematical Physics, vol. 54, (no. 4), Apr 2013. | Journal Article
2012
Darboux transformations for (1+2)-dimensional Fokker-Planck equations with constant diffusion matrix
Schulze Halberg, Axel
Journal of Mathematical Physics, vol. 53, (no. 10), 2012. | Journal Article
 
Explicit formulas for generalized harmonic perturbations of the infinite quantum well with an application to Mathieu equations
García-Ravelo, J.⋅Schulze Halberg, Axel and Trujillo, A. L
Journal of Mathematical Physics, vol. 53, (no. 10), Oct 2012. | Journal Article
 
Two-dimensional magnetic Schrödinger equations, Darboux transformations and solutions of associated auxiliary equations
Schulze Halberg, Axel
Journal of Mathematical Physics, vol. 53, (no. 8), Aug 2012. | Journal Article
2011
Higher order Darboux transformations in two dimensions, linearizable auxiliary equations, and invariant potentials
Schulze Halberg, Axel
Journal of Mathematical Physics, vol. 52, (no. 8), Aug 2011. | Journal Article
 
Modified Darboux transformations with foreign auxiliary equations
Schulze Halberg, Axel
Physics Letters. Section A: General, Atomic and Solid State Physics, vol. 375, (no. 25), pp. 2513-2518, 2011. | Journal Article
2010
Two-parameter ladder operators for spherical Bessel functions
Garcia-Ravelo, Jesus⋅Schulze Halberg, Axel⋅Gil, Jose J and Queijeiro, Alfonso
Applied Mathematics Letters, vol. 23, (no. 4), pp. 462-465, 2010. | Journal Article
2009
AN IMPLICIT SPECTRAL FORMULA FOR GENERALIZED LINEAR SCHRODINGER EQUATIONS
Schulze Halberg, Axel⋅Garcia-Ravelo, Jesus and Gil, Jose J
International Journal of Modern Physics E, vol. 18, (no. 9), pp. 1831-1844, 2009. | Journal Article
 
Darboux transformations and supersymmetry for the generalized Schrodinger equations in (1+1) dimensions
Suzko, A. A and Schulze Halberg, Axel
Journal of Physics A: Mathematical and Theoretical, vol. 42, (no. 29), pp. 295203 (14pp), 2009. | Journal Article
 
Darboux transformations for the time-dependent nonhomogeneous Burgers equation in (1+1) dimensions
Schulze Halberg, Axel and Jimenez, Juan M
Physica Scripta, vol. 80, (no. 6), pp. 065014 (8pp), 2009. | Journal Article
 
Exact solutions of the Fokker-Planck equation from an nth order supersymmetric quantum mechanics approach
Schulze Halberg, Axel⋅Rivas, Jesus M⋅Gil, Jose J⋅Garcia-Ravelo, Jesus and Roy, Pinaki
Physics Letters. Section A: General, Atomic and Solid State Physics, vol. 373, (no. 18-19), pp. 1610-1615, 2009. | Journal Article
 
Explicit Darboux transformations of arbitrary order for generalized time-dependent Schrodinger equations
Schulze Halberg, Axel⋅Pozdeeva, Ekaterina and Suzko, Alina
Journal of Physics A: Mathematical and Theoretical, vol. 42, (no. 11), pp. 115211 (12pp), 2009. | Journal Article