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Hamiltonians with Position-dependent Mass, Deformations and Supersymmetry by Quesne, C.; Bagchi, B.; Banerjee, A.; Tkachuk, V. M. is a scholarly article available to read on EtoBox.

What is Hamiltonians with Position-dependent Mass, Deformations and Supersymmetry about?

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.

Author

Quesne, C.; Bagchi, B.; Banerjee, A.; Tkachuk, V. M.

Published

2005

Language

EN