Exactness of SWKB for Shape Invariant Potentials

Asim Gangopadhyaya; Jeffry V. Mallow,; Constantin Rasinariu; Jonathan Bougie

doi:10.1016/j.physleta.2020.126722

Exactness of SWKB for Shape Invariant Potentials

Asim Gangopadhyaya, Jeffry V. Mallow,, Constantin Rasinariu, Jonathan Bougie

Department of Physics

Loyola University Chicago

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

Abstract

The supersymmetry-based semiclassical method (SWKB) is known to produce exact spectra for conventional shape invariant potentials. In this paper we prove that this exactness follows from their additive shape invariance.

Original language	American English
Journal	Physics: Faculty Publications and Other Works
Volume	384
Issue number	28
DOIs	https://doi.org/10.1016/j.physleta.2020.126722
State	Published - Oct 9 2020

Keywords

Supersymmetric quantum mechanics
Shape invariance
Exactly solvable systems
Semiclassical approximation
SWKB

Disciplines

Physics

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10.1016/j.physleta.2020.126722License: Unspecified

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@article{0830fdb550064d4a89821f680d554c44,

title = "Exactness of SWKB for Shape Invariant Potentials",

abstract = " The supersymmetry-based semiclassical method (SWKB) is known to produce exact spectra for conventional shape invariant potentials. In this paper we prove that this exactness follows from their additive shape invariance.",

keywords = "Supersymmetric quantum mechanics, Shape invariance, Exactly solvable systems, Semiclassical approximation, SWKB",

author = "Asim Gangopadhyaya and Mallow,, {Jeffry V.} and Constantin Rasinariu and Jonathan Bougie",

year = "2020",

month = oct,

day = "9",

doi = "10.1016/j.physleta.2020.126722",

language = "American English",

volume = "384",

journal = "Physics: Faculty Publications and Other Works",

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T1 - Exactness of SWKB for Shape Invariant Potentials

AU - Gangopadhyaya, Asim

AU - Mallow,, Jeffry V.

AU - Rasinariu, Constantin

AU - Bougie, Jonathan

PY - 2020/10/9

Y1 - 2020/10/9

N2 - The supersymmetry-based semiclassical method (SWKB) is known to produce exact spectra for conventional shape invariant potentials. In this paper we prove that this exactness follows from their additive shape invariance.

AB - The supersymmetry-based semiclassical method (SWKB) is known to produce exact spectra for conventional shape invariant potentials. In this paper we prove that this exactness follows from their additive shape invariance.

KW - Supersymmetric quantum mechanics

KW - Shape invariance

KW - Exactly solvable systems

KW - Semiclassical approximation

KW - SWKB

UR - https://ecommons.luc.edu/physics_facpubs/60

U2 - 10.1016/j.physleta.2020.126722

DO - 10.1016/j.physleta.2020.126722

M3 - Article

VL - 384

JO - Physics: Faculty Publications and Other Works

JF - Physics: Faculty Publications and Other Works

IS - 28

ER -

Exactness of SWKB for Shape Invariant Potentials

Abstract

Keywords

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