An algebraic construction of generalized coherent states associated withq-deformed models for primary shape-invariant systems
| Autor: | A. B. Balantekin, A N F Aleixo |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Statistics and Probability
General Physics and Astronomy Statistical and Nonlinear Physics Invariant (physics) Open quantum system Classical mechanics Quantum harmonic oscillator Modeling and Simulation Quantum process Coherent states Supersymmetric quantum mechanics Quantum Mathematical Physics Harmonic oscillator Mathematics Mathematical physics |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical. 40:3463-3480 |
| ISSN: | 1751-8121 1751-8113 |
| DOI: | 10.1088/1751-8113/40/13/012 |
| Popis: | Generalized coherent states for primary shape invariant potential systems quantum deformed by different models are constructed using an algebraic approach based on supersymmetric quantum mechanics. We show that this generalized formalism is able (a) to supply the essential requirements necessary to establish a connection between classical and quantum formulations of a given system, (b) to reproduce, as particular cases, results already known for shape-invariant systems (such as standard harmonic oscillator and P?schl?Teller potentials as well as quantum deformed harmonic oscillator models) and (c) point to a formalism that provides a unified description of the different kind of coherent states for quantum systems, deformed or not deformed. |
| Databáze: | OpenAIRE |
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