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Klein-Gordon Equation with Superintegrable Systems: Kepler-Coulomb, Harmonic Oscillator, and Hyperboloid
Joint Authors
Mohammadi, V.
Aghaei, S.
Chenaghlou, A.
Source
Advances in High Energy Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-29
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We study the two-dimensional Klein-Gordon equation with spin symmetry in the presence of the superintegrable potentials.
On Euclidean space, the S O ( 3 ) group generators of the Schrödinger-like equation with the Kepler-Coulomb potential are represented.
In addition, by Levi-Civita transformation, the Schrödinger-like equation with harmonic oscillator which is dual to the Kepler-Coulomb potential and the S U ( 2 ) group generators of associated system are studied.
Also, we construct the quadratic algebra of the hyperboloid superintegrable system.
Then, we obtain the corresponding Casimir operators and the structure functions and the relativistic energy spectra of the corresponding quasi-Hamiltonians by using the quadratic algebra approach.
American Psychological Association (APA)
Mohammadi, V.& Aghaei, S.& Chenaghlou, A.. 2015. Klein-Gordon Equation with Superintegrable Systems: Kepler-Coulomb, Harmonic Oscillator, and Hyperboloid. Advances in High Energy Physics،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1052567
Modern Language Association (MLA)
Mohammadi, V.…[et al.]. Klein-Gordon Equation with Superintegrable Systems: Kepler-Coulomb, Harmonic Oscillator, and Hyperboloid. Advances in High Energy Physics No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1052567
American Medical Association (AMA)
Mohammadi, V.& Aghaei, S.& Chenaghlou, A.. Klein-Gordon Equation with Superintegrable Systems: Kepler-Coulomb, Harmonic Oscillator, and Hyperboloid. Advances in High Energy Physics. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1052567
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052567