Journal of Nonlinear Mathematical Physics

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
Available Online 9 December 2006.
DOI
https://doi.org/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.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
11 - 3
Pages
361 - 375
Publication Date
2006/12
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2004.11.3.7How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - H FAKHRI
PY  - 2006
DA  - 2006/12
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  - https://doi.org/10.2991/jnmp.2004.11.3.7
ID  - FAKHRI2006
ER  -