Published September 20, 2010
| Version v1
Journal article
Non-commutative oscillator with Kepler-type dynamical symmetry
- 1. Laboratoire de Mathematiques et de Physique Theorique, Universite de Tours, Federation Denis Poisson - CNRS Parc de Grandmont, 37200 Tours (France)
- 2. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou (China)
Description
A 3-dimensional non-commutative oscillator with no mass term but with an appropriate momentum-dependent potential admits a conserved Runge-Lenz vector, derived from the dual description in momentum space. The trajectories lie on ellipses. The dynamical symmetry allows for an algebraic determination of the bound-state spectrum and extends to o(4,2).
Availability note (English)
Available from http://dx.doi.org/10.1016/j.physleta.2010.08.054Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2010.08.054;
- arXiv
- arXiv:1006.1861v3;
- PII
- S0375-9601(10)01073-X;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 374
- Journal Issue
- 42
- Journal Page Range
- p. 4275-4278
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 42044992
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUND STATE; OSCILLATORS; POTENTIALS; SYMMETRY; THREE-DIMENSIONAL CALCULATIONS; VECTORS
- Descriptors DEC
- ELECTRONIC EQUIPMENT; EQUIPMENT; TENSORS
Optional Information
- Copyright
- Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.