Generating Shape Invariant Potentials

Asim Gangopadhyaya

doi:10.1142/S0217751X08042894

Generating Shape Invariant Potentials

Asim Gangopadhyaya

Research output: Contribution to journal › Article › peer-review

Abstract

We transform the shape invariance condition, a difference-differential equation of supersymmetric quantum mechanics, into a local partial differential equation. We develop a new method for generating translationally shape invariant potentials from this equation. We generate precisely all the known shape invariant potentials, and argue that there are unlikely to be others.

Original language	American English
Journal	International Journal of Modern Physics A
Volume	23
DOIs	https://doi.org/10.1142/S0217751X08042894
State	Published - 2008

Keywords

Supersymmetric quantum mechanics
shape invariance
difference-differential equations
exactly solvable potentials

Disciplines

Physics

Access to Document

10.1142/S0217751X08042894License: Unspecified

Cite this

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title = "Generating Shape Invariant Potentials",

abstract = " We transform the shape invariance condition, a difference-differential equation of supersymmetric quantum mechanics, into a local partial differential equation. We develop a new method for generating translationally shape invariant potentials from this equation. We generate precisely all the known shape invariant potentials, and argue that there are unlikely to be others.",

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AB - We transform the shape invariance condition, a difference-differential equation of supersymmetric quantum mechanics, into a local partial differential equation. We develop a new method for generating translationally shape invariant potentials from this equation. We generate precisely all the known shape invariant potentials, and argue that there are unlikely to be others.

KW - Supersymmetric quantum mechanics

KW - shape invariance

KW - difference-differential equations

KW - exactly solvable potentials

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DO - 10.1142/S0217751X08042894

M3 - Article

VL - 23

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

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