Published July 30, 1992
| Version v1
Journal article
Finite Euclidean magnetic group and theta functions
Description
In this paper, the Euclidean magnetic group of translations and rotations in a constant magnetic field is discussed in detail. The eigenfunctions of finite magnetic translations are shown to be related to the quasi periodic Jacobi theta functions, whose group theoretical properties under modular transformations are simple discussed. Invariance under finite rotations is very important; it leads to the two fundamental lattices of 60 degrees and 90 degrees already appearing in the theory of the phase transitions of Type II superconductors
Additional details
Publishing Information
- Journal Title
- International Journal of Modern Physics A
- Journal Volume
- 7
- Journal Issue
- 19
- Journal Page Range
- p. 4671-4691.
- ISSN
- 0217-751X
- CODEN
- IMPAEF
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 24012542
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
- Descriptors DEI
- EIGENFUNCTIONS; EUCLIDEAN SPACE; GROUP THEORY; INVARIANCE PRINCIPLES; JACOBIAN FUNCTION; MAGNETIC FIELDS; PHASE TRANSFORMATIONS; ROTATION; TRANSFORMATIONS; TYPE-II SUPERCONDUCTORS
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL SPACE; MATHEMATICS; RIEMANN SPACE; SPACE; SUPERCONDUCTORS