Published January 2005
| Version v1
Journal article
Two and three dimensional Hamiltonians with generalized and ordinary shape invariance symmetry
- 1. and Research Institute for Fundamental Sciences, Tabriz 51664 (Iran, Islamic Republic of)
- 2. Institute for Studies in Theoretical Physics and Mathematics, Teheran 19395-1795 (Iran, Islamic Republic of)
- 3. Department of Physics, Guilan University, Rasht 41335-1914 (Iran) and Institute for Studies in Theoretical Physics and Mathematics, Teheran 19395-1795 (Iran, Islamic Republic of) and Department of Theoretical Physics and Astrophysics, Tabriz University, Tabriz 51664 (Iran, Islamic Republic of)
Description
Two and three dimensional Hamiltonians with generalized and ordinary shape invariance symmetry have been obtained by Fourier transforming over some coordinates of the SU(3) Casimir operator defined on SU(3)/SU(2) symmetric space. It is shown that the generalized shape invariance of the two dimensional Hamiltonian is equivalent to SU(3) symmetry while in the three dimensional one, the ordinary shape invariance is equivalent to contracted SU(3) and there is one to one correspondence between the representations of the generalized shape invariance symmetry of the two (three) dimensional Hamiltonian and SU(3) [contracted SU(3)] Verma bases
Additional details
Identifiers
- DOI
- 10.1063/1.1827325;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 46
- Journal Issue
- 1
- Journal Page Range
- p. 012103-012103.14
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36052495
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- CASIMIR OPERATORS; COORDINATES; FOURIER TRANSFORMATION; HAMILTONIANS; MATHEMATICAL SPACE; SU-2 GROUPS; SU-3 GROUPS; SYMMETRY; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- INTEGRAL TRANSFORMATIONS; LIE GROUPS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS; SPACE; SU GROUPS; SYMMETRY GROUPS; TRANSFORMATIONS
Optional Information
- Notes
- (c) 2005 American Institute of Physics