Published May 2, 2003
| Version v1
Journal article
Creation and annihilation operators, symmetry and supersymmetry of the 3D isotropic harmonic oscillator
- 1. Departamento de Matematicas, Centro de Investigacion y de Estudios Avenzados del IPN, 07000, Mexico DF (Mexico)
- 2. Escuela Superior de Fisica y Matematicas, Instituto Politecnico Nacional, Ed. 9, Unidad Profesional Adolfo Lopez Mateos, 07738 Mexico DF (Mexico)
- 3. Unidad Profesional Interdisciplinaria en Ingenieria y Tecnologias Avanzadas, IPN Av. Instituto Politecnico Nacional No 2580, Col. La Laguna Ticoman, Delegacion Gustavo A Madero, CP 07340 Mexico DF (Mexico)
Description
We show that the supersymmetric radial ladder operators of the three-dimensional isotropic harmonic oscillator are contained in the spherical components of the creation and annihilation operators of the system. Also, we show that the constants of motion of the problem, written in terms of these spherical components, lead us to second-order radial operators. Further, we show that these operators change the orbital angular momentum quantum number by two units and are equal to those obtained by the Infeld-Hull factorization method
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/4849/a31711.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/0305-4470/36/4849/a31711.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/36/17/311;
- PII
- S0305-4470(03)56842-1;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 17
- Journal Page Range
- p. 4849-4856
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 34042092
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ANNIHILATION OPERATORS; CREATION OPERATORS; HARMONIC OSCILLATORS; ISOTROPY; ORBITAL ANGULAR MOMENTUM; QUANTUM MECHANICS; QUANTUM NUMBERS; SUPERSYMMETRY; SYMMETRY; THREE-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- ANGULAR MOMENTUM; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS; SYMMETRY