Quantum dynamics of parasupersymmetric and shape-invariant coupled systems
| Autor: | A. B. Balantekin, A N F Aleixo |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Statistics and Probability
Quantum dynamics General Physics and Astronomy Statistical and Nonlinear Physics Invariant (physics) Nonlinear system symbols.namesake Ladder operator Classical mechanics Modeling and Simulation Quantum mechanics Atom symbols Algebraic number Hamiltonian (quantum mechanics) Mathematical Physics Mathematics |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical. 40:8417-8439 |
| ISSN: | 1751-8121 1751-8113 |
| DOI: | 10.1088/1751-8113/40/29/016 |
| Popis: | A class of bound-state problems which represents the coupling of a three-level atom with a two-dimensional system involving two shape-invariant potentials was introduced in a previous paper. In this paper, we considered second-order parasupersymmetric quantum-mechanical models and two possible kinds for the coupling Hamiltonian (linear and nonlinear in the potential ladder operators). In the present paper, using an algebraic formulation for shape-invariant potential systems, we study the quantum dynamics of these coupled systems and obtain the temporal behaviour of some dynamical variables related with the atom and the coupling potentials. An application is given for a couple of shape-invariant potentials (Poschl–Teller + self-similar potentials). |
| Databáze: | OpenAIRE |
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