The number radial coherent states for the generalized MICZ-Kepler problem

We study the radial part of the McIntosh-Cisneros-Zwanziger (MICZ)-Kepler problem in an algebraic way by using the (1, 1) Lie algebra. We obtain the energy spectrum and the eigenfunctions of this problem from the (1, 1) theory of unitary representations and the tilting transformation to the stationa...

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Bibliographic Details
Published in:Journal of mathematical physics 2016-02, Vol.57 (2), p.1
Main Authors: Salazar-Ramírez, M., Ojeda-Guillén, D., Mota, R. D.
Format: Article
Language:English
Subjects:
Algebra
Coherence
Eigenvectors
Energy spectra
Graph representations
Lie groups
Mathematical functions
Mathematical problems
Physics
Schrodinger equation
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Summary:We study the radial part of the McIntosh-Cisneros-Zwanziger (MICZ)-Kepler problem in an algebraic way by using the (1, 1) Lie algebra. We obtain the energy spectrum and the eigenfunctions of this problem from the (1, 1) theory of unitary representations and the tilting transformation to the stationary Schrödinger equation. We construct the physical Perelomov number coherent states for this problem and compute some expectation values. Also, we obtain the time evolution of these coherent states.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4940719