Supersymmetry and the relationship between the Coulomb and oscillator problems in arbitrary dimensions

Loading...
Thumbnail Image
Can’t use the file because of accessibility barriers? Contact us with the title of the item, permanent link, and specifics of your accommodation need.

Date

1985

Journal Title

Journal ISSN

Volume Title

Publisher

American Physical Society

Abstract

We construct the relationship between the radial equations of the $d$-dimensional hydrogen atom and the $D$-dimensional simple harmonic oscillator. The supersymmetric partners of each of these systems are obtained, and a series of maps between the various systems is delineated. We present an explicit physical example of our maps. Finally, we generalize to D dimensions the recent work of Balantekin on the supersymmetric oscillator with spin-orbit coupling, and we demonstrate that this supersymmetry is different from the one we study.

Description

Keywords

Citation

Kostelecký, V.A., Nieto, M.M., & Truax, D.R. (1985). Supersymmetry and the relationship between the Coulomb and oscillator problems in arbitrary dimensions. Physical Review D, 32(10), 2627-2633. http://dx.doi.org/10.1103/PhysRevD.32.2627

Journal

DOI

Link(s) to data and video for this item

Relation

Rights

© 1985 American Physical Society.

Type

Article