Published November 21, 2003
| Version v1
Journal article
An algebraic q-deformed form for shape-invariant systems
- 1. Instituto de FIsica, Universidade Federal do Rio de Janeiro, RJ (Brazil)
- 2. Department of Physics, University of Wisconsin, Madison, WI 53706, USA (United States)
- 3. Departamento de FIsica, Instituto de Biociencias, Letras e Ciencias Exatas UNESP, Sao Jose do Rio Preto, SP (Brazil)
Description
A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by defining q-deformed ladder operators. We show that these new ladder operators satisfy new q-deformed commutation relations. In this context we construct an alternative q-deformed model that preserves the shape-invariance property presented by the primary system. q-deformed generalizations of Morse, Scarf and Coulomb potentials are given as examples
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/11631/a3_46_007.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/36/11631/a3_46_007.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/36/46/007;
- PII
- S0305-4470(03)67826-1;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 46
- Journal Page Range
- p. 11631-11641
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35018387
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUND STATE; GROUP THEORY; LADDER APPROXIMATION; POTENTIALS; QUANTUM GROUPS
- Descriptors DEC
- MATHEMATICS; SYMMETRY GROUPS