arXiv:quant-ph/0512046AbstractReferencesReviewsResources
Hamiltonians with position-dependent mass, deformations and supersymmetry
C. Quesne, B. Bagchi, A. Banerjee, V. M. Tkachuk
Published 2005-12-06Version 1
A new method for generating exactly solvable Schr\"odinger equations with a position-dependent mass is proposed. It is based on a relation with some deformed Schr\"odinger equations, which can be dealt with by using a supersymmetric quantum mechanical approach combined with a deformed shape-invariance condition. The solvability of the latter is shown to impose the form of both the deformed superpotential and the position-dependent mass. The conditions for the existence of bound states are determined. A lot of examples are provided and the corresponding bound-state spectrum and wavefunctions are reviewed.
Comments: 11 pages, no figure, presented at IV International Symposium Quantum Theory and Symmetries, Varna, Bulgaria, 15-21 August 2005
Categories: quant-ph
Related articles: Most relevant | Search more
arXiv:2312.17146 [quant-ph] (Published 2023-12-28)
Hamiltonians, groups, graphs and ansätze
arXiv:1111.4054 [quant-ph] (Published 2011-11-17)
Scattering states of a particle, with position-dependent mass, in a double heterojunction
Reconstruction of Hamiltonians from given time evolutions