Potentials with Two Shifted Sets of Equally Spaced Eigenvalues and Their Calogero Spectrum

Asim Gangopadhyaya; Uday P. Sukhatme

doi:10.1016/S0375-9601(96)00807-9

Potentials with Two Shifted Sets of Equally Spaced Eigenvalues and Their Calogero Spectrum

Asim Gangopadhyaya, Uday P. Sukhatme

Department of Physics

University of Illinois at Chicago

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

Abstract

Motivated by the concept of shape invariance in supersymmetric quantum mechanics, we obtain potentials whose spectrum consists of two shifted sets of equally spaced energy levels. These potentials are similar to the Calogero-Sutherland model except the singular term αx−2 always falls in the transition region -1/4 < a < 3/4 and there is a δ-function singularity at x=0.

Original language	American English
Journal	Physics: Faculty Publications and Other Works
Volume	224
DOIs	https://doi.org/10.1016/S0375-9601(96)00807-9
State	Published - Nov 12 1996

Keywords

supersymmetry

Disciplines

Physics
Quantum Physics

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title = "Potentials with Two Shifted Sets of Equally Spaced Eigenvalues and Their Calogero Spectrum",

abstract = " Motivated by the concept of shape invariance in supersymmetric quantum mechanics, we obtain potentials whose spectrum consists of two shifted sets of equally spaced energy levels. These potentials are similar to the Calogero-Sutherland model except the singular term αx−2 always falls in the transition region -1/4 < a < 3/4 and there is a δ-function singularity at x=0.",

keywords = "supersymmetry",

author = "Asim Gangopadhyaya and Sukhatme, {Uday P.}",

note = "Gangopadhyaya, A and U Sukhatme. {"}Potentials with Two Shifted Sets of Equally Spaced Eigenvalues and Their Calogero Spectrum.{"} http://arxiv.org/pdf/hep-th/9611086.pdf",

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AU - Sukhatme, Uday P.

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PY - 1996/11/12

Y1 - 1996/11/12

N2 - Motivated by the concept of shape invariance in supersymmetric quantum mechanics, we obtain potentials whose spectrum consists of two shifted sets of equally spaced energy levels. These potentials are similar to the Calogero-Sutherland model except the singular term αx−2 always falls in the transition region -1/4 < a < 3/4 and there is a δ-function singularity at x=0.

AB - Motivated by the concept of shape invariance in supersymmetric quantum mechanics, we obtain potentials whose spectrum consists of two shifted sets of equally spaced energy levels. These potentials are similar to the Calogero-Sutherland model except the singular term αx−2 always falls in the transition region -1/4 < a < 3/4 and there is a δ-function singularity at x=0.

KW - supersymmetry

UR - https://ecommons.luc.edu/physics_facpubs/35

U2 - 10.1016/S0375-9601(96)00807-9

DO - 10.1016/S0375-9601(96)00807-9

M3 - Article

VL - 224

JO - Physics: Faculty Publications and Other Works

JF - Physics: Faculty Publications and Other Works

ER -

Potentials with Two Shifted Sets of Equally Spaced Eigenvalues and Their Calogero Spectrum

Abstract

Keywords

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