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Open Quantum Systems Decoherence Quantum Simulation

Shape-invariant quantum Hamiltonian with position-dependent effective mass through second order supersymmetry

arXiv

Authors: A. Ganguly, L. M. Nieto

Year

2007

Paper ID

49582

Status

Preprint

Abstract Read

~2 min

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Abstract

Second order supersymmetric approach is taken to the system describing motion of a quantum particle in a potential endowed with position-dependent effective mass. It is shown that the intertwining relations between second order partner Hamiltonians may be exploited to obtain a simple shape-invariant condition. Indeed a novel relation between potential and mass functions is derived, which leads to a class of exactly solvable model. As an illustration of our procedure, two examples are given for which one obtains whole spectra algebraically. Both shape-invariant potentials exhibit harmonic-oscillator-like or singular-oscillator-like spectra depending on the values of the shape-invariant parameter.

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Second order supersymmetric approach is taken to the system describing motion of a quantum particle in a potential endowed with position-dependent effective mass.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0707.3624 [2] arXiv https://arxiv.org/abs/0707.3624 [3] Publisher https://arxiv.org/abs/0707.3624

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