SU(1,1) solution for the Dunkl oscillator in two dimensions and its coherent states

. We study the Dunkl oscillator in two dimensions by the su (1,1) algebraic method. We apply the Schrödinger factorization to the radial Hamiltonian of the Dunkl oscillator to find the su (1,1) Lie algebra generators. The energy spectrum is found by using the theory of unitary irreducible representa...

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Bibliographic Details
Published in:European physical journal plus 2017-01, Vol.132 (1), p.39, Article 39
Main Authors: Salazar-Ramırez, M., Ojeda-Guillén, D., Mota, R. D., Granados, V. D.
Format: Article
Language:English
Subjects:
Algebra
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Eigenvalues
Energy
Energy spectra
Hamiltonian functions
Lie groups
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Oscillators
Physics
Physics and Astronomy
Quantum physics
Regular Article
Representations
Schrodinger equation
Theoretical
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Summary:. We study the Dunkl oscillator in two dimensions by the su (1,1) algebraic method. We apply the Schrödinger factorization to the radial Hamiltonian of the Dunkl oscillator to find the su (1,1) Lie algebra generators. The energy spectrum is found by using the theory of unitary irreducible representations. By solving analytically the Schrödinger equation, we construct the Sturmian basis for the unitary irreducible representations of the su (1,1) Lie algebra. We construct the SU (1,1) Perelomov radial coherent states for this problem and compute their time evolution.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2017-11314-3