Published August 2002
| Version v1
Journal article
A realization of dynamic group for an electron in a uniform magnetic field
Creators
- 1. Center of Computation, Dalian University, Dalian 116622 (China)
- 2. Instituto de Ciencias Nucleares, UNAM, Apdo. Postal. 70-543, Circuito Exterior, C. U. 04510 Mexico, D. F. (Mexico)
Description
The eigenvalues and eigenfunctions of the Schroedinger equation with a non-relativistic electron in a uniform magnetic field are presented. A realization of the creation and annihilation operators for the radial wave-functions is carried out. It is shown that these operators satisfy the commutation relations of an SU(1,1) group. Closed analytical expressions are evaluated for the matrix elements of different functions ρ2 and ρd/dρ. (author)
Additional details
Identifiers
Publishing Information
- Journal Title
- International Journal of Modern Physics E
- Journal Volume
- 11
- Journal Issue
- 4
- Journal Page Range
- p. 265-271
- ISSN
- 0218-3013
INIS
- Country of Publication
- Singapore
- Country of Input or Organization
- Singapore
- INIS RN
- 45083739
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- COMMUTATION RELATIONS; EIGENFUNCTIONS; EIGENVALUES; MAGNETIC FIELDS; MATRIX ELEMENTS; SCHROEDINGER EQUATION; WAVE FUNCTIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS