Published 1998
| Version v1
Journal article
Meixner oscillators
- 1. Instituto de Matematicas. Universidad Nacional Autonoma de Mexico. Cuernavaca, Morelos (Mexico)
- 2. Institute of Physics, Azerbaijan Academy of Sciences. Baku, Azerbaijan (Azerbaijan)
- 3. Instituto de Investigaciones en Matematicas Aplicadas y en Sistemas. Universidad Nacional Autonoma de Mexico. Cuernavaca, Morelos (Mexico)
Description
Meixner oscillators have a ground state and an energy spectrum that is equally spaced; they are a two-parameter family of models that satisfy a Hamiltonian equation with a difference operator. Meixner oscillators include as limits and particular cases the Charlier, Kravchuk and Hermite (common quantum-mechanical) harmonic oscillators. By the Sommerfeld-Watson transformation they are also related with a relativistic model of the linear harmonic oscillator, built in terms of the Meixner-Pollaczek polynomials, and their continuous weight function. We construct explicitly the corresponding coherent states with the dynamical symmetry group Sp(2,R). The reproducing kernel for the wavefunctions of these models is also found. (Author)
Additional details
Publishing Information
- Journal Title
- Revista Mexicana de Fisica
- Journal Volume
- 44
- Journal Issue
- 3
- Journal Page Range
- p. 235-244
- ISSN
- 0035-001X
- CODEN
- RMXFAT
INIS
- Country of Publication
- Mexico
- Country of Input or Organization
- Mexico
- INIS RN
- 29051197
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANNIHILATION; CASIMIR OPERATORS; EIGENSTATES; EIGENVALUES; HAMILTONIANS; HARMONIC OSCILLATOR MODELS; HERMITE POLYNOMIALS; KERNELS; LIE GROUPS; QUANTUM MECHANICS; SOMMERFELD-WATSON THEORY; SP GROUPS; WAVE FUNCTIONS
- Descriptors DEC
- FUNCTIONS; INTERACTIONS; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MECHANICS; PARTICLE INTERACTIONS; POLYNOMIALS; QUANTUM OPERATORS; SYMMETRY GROUPS