Journal of Nonlinear Mathematical Physics

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Volume 11, Issue 3, August 2004, Pages 361 - 375

Superalgebras for the 3D Harmonic Oscillator and Morse Quantum Potentials

Authors
H. Fakhri
Corresponding Author
H. Fakhri
Received 16 November 2003, Accepted 15 March 2004, Available Online 1 August 2004.
DOI
10.2991/jnmp.2004.11.3.7How to use a DOI?
Abstract

In addition to obtaining supersymmetric structure related to the partner Hamiltonans, we get another supersymmetric structure via factorization method for both the 3D harmonic oscillator and Morse quantum potentials. These two supersymmetries induce also an additional supersymmetric structure involving simultaneous laddering relations with respect to two different parameters for both models. These lead to the realizing of Heisenberg Lie superalgebras with two, four and six supercharges.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
11 - 3
Pages
361 - 375
Publication Date
2004/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2004.11.3.7How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - H. Fakhri
PY  - 2004
DA  - 2004/08/01
TI  - Superalgebras for the 3D Harmonic Oscillator and Morse Quantum Potentials
JO  - Journal of Nonlinear Mathematical Physics
SP  - 361
EP  - 375
VL  - 11
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.3.7
DO  - 10.2991/jnmp.2004.11.3.7
ID  - Fakhri2004
ER  -