Published October 1998
| Version v1
Journal article
On a generalized oscillator: invariance algebra and interbasis expansions
- 1. Joint Inst. for Nuclear Research, Dubna (Russian Federation)
- 2. Inst. de Physique Nucleaire de Lyon, (France)
Description
A quantum-mechanical system which generalizes the ordinary isotropic harmonic oscillator system is considered. The coefficients connecting the polar and Cartesian bases for D = 2 and the coefficients connecting the Cartesian and cylindrical bases as well as the cylindrical and spherical bases for D = 3 are given. These interbasis expansion coefficients are found to be analytic continuations for real values of their arguments of the Clebsch-Gordan coefficients for the group SU(2)
Additional details
Publishing Information
- Journal Title
- Yadernaya Fizika
- Journal Volume
- 61
- Journal Issue
- 10
- Journal Page Range
- p. 1893-1899
- ISSN
- 0044-0027
- CODEN
- IDFZA7
Conference
- Title
- 8. International conference on symmetry methods in physics
- Dates
- 28 Jul - 2 Aug 1997
- Place
- Dubna (Russian Federation)
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- Russian Federation
- INIS RN
- 30049820
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ALGEBRA; BOUNDARY CONDITIONS; CARTESIAN COORDINATES; CASIMIR OPERATORS; CLEBSCH-GORDAN COEFFICIENTS; ENERGY SPECTRA; HAMILTONIANS; LAGUERRE POLYNOMIALS; ONE-DIMENSIONAL CALCULATIONS; POTENTIALS; QUANTUM NUMBERS; SCHROEDINGER EQUATION; SU-2 GROUPS; SUPERSYMMETRY; TWO-DIMENSIONAL CALCULATIONS; WAVE FUNCTIONS
- Descriptors DEC
- COORDINATES; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS; QUANTUM OPERATORS; SPECTRA; SU GROUPS; SYMMETRY; SYMMETRY GROUPS; WAVE EQUATIONS
Optional Information
- Notes
- 15 refs.