Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-07-04
Commun.Math.Phys. 178 (1996) 399-424
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, latex, 1 figure included with EPSF. Revised version with minor changes intended to clarify notation. Acepted for pub
Scientific paper
10.1007/BF02099455
The problems arising when quantizing systems with periodic boundary conditions are analysed, in an algebraic (group-) quantization scheme, and the ``failure" of the Ehrenfest theorem is clarified in terms of the already defined notion of {\it good} (and {\it bad}) operators. The analysis of ``constrained" Heisenberg-Weyl groups according to this quantization scheme reveals the possibility for new quantum (fractional) numbers extending those allowed for Chern classes in traditional Geometric Quantization. This study is illustrated with the examples of the free particle on the circumference and the charged particle in a homogeneous magnetic field on the torus, both examples featuring ``anomalous" operators, non-equivalent quantization and the latter, fractional quantum numbers. These provide the rationale behind flux quantization in superconducting rings and Fractional Quantum Hall Effect, respectively.
Aldaya Victor
Calixto Manuel
Guerrero Julio
No associations
LandOfFree
Algebraic Quantization, Good Operators and Fractional Quantum Numbers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Algebraic Quantization, Good Operators and Fractional Quantum Numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebraic Quantization, Good Operators and Fractional Quantum Numbers will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-264416