|
| related topics |
| {equation, function, exp} |
| {operator, operators, space} |
| {state, states, coherent} |
| {group, space, representation} |
| {time, decoherence, evolution} |
| {energy, state, states} |
|
Algebraic Nature of Shape-Invariant and Self-Similar Potentials
A. B. Balantekin, M. A. Candido Ribeiro, A. N. F. Aleixo
abstract: 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/9811061
- categories:
- quant-ph nucl-th
- comments:
- 8 pages
- doi:
- 10.1088/0305-4470/32/15/007
- arxiv_id:
- quant-ph/9811061
- journal_ref:
- J.Phys.A32:2785-2790,1999
- report_no:
- MAD-NT-98-04
- created:
- 1998-11-23
Full article ▸
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