Quantization as a Consequence of the Symmetry Group: An Approach to Geometric Quantization
Mar, 198236 pages
Published in:
- J.Math.Phys. 23 (1982) 1297
DOI:
Report number:
- Print-82-0145 (VALENCIA)
View in:
Citations per year
Abstract: (AIP)
A method is proposed to obtain the dynamics of a system which only makes use of the group law. It incorporates many features of the traditional geometric quantization program as well as the possibility of obtaining the classical dynamics: The classical or quantum character of the theory is related to the choice of the group, avoiding thus the need of quantizing preexisting classical systems and providing a group connection between the quantum and classical systems, i.e., the classical limit. The method is applied to the free‐particle dynamics and the harmonic oscillator.- QUANTIZATION: GEOMETRICAL
- GROUP THEORY: LIE
- APPROXIMATION: CLASSICAL
- MODEL: OSCILLATOR
- SYMMETRY: U(1)
- MATHEMATICAL METHODS: FIBRE BUNDLE
- PARTICLE: NONRELATIVISTIC
- MATHEMATICAL METHODS: DIFFERENTIAL GEOMETRY
- GROUP THEORY: LORENTZ
References(6)
Figures(0)