Algebraic nature of shape-invariant and self-similar potentials
| Autor: | A N F Aleixo, M.A. Candido Ribeiro, A. B. Balantekin |
|---|---|
| Rok vydání: | 1999 |
| Předmět: |
Quantum Physics
Pure mathematics Nuclear Theory 010308 nuclear & particles physics FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics Invariant (physics) 01 natural sciences Nuclear Theory (nucl-th) 0103 physical sciences Lie algebra Coherent states Algebraic number Quantum Physics (quant-ph) 010306 general physics Mathematical Physics Mathematics |
| Zdroj: | Journal of Physics A: Mathematical and General. 32:2785-2790 |
| ISSN: | 1361-6447 0305-4470 |
| DOI: | 10.1088/0305-4470/32/15/007 |
| Popis: | Self-similar potentials generalize the concept of shape-invariance which was originally introduced to explore exactly-solvable potentials in quantum mechanics. In this article it is shown that previously introduced algebraic approach to the latter can be generalized to the former. The infinite Lie algebras introduced in this context are shown to be closely related to the q-algebras. The associated coherent states are investigated. 8 pages |
| Databáze: | OpenAIRE |
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