%0 Journal Article 
%A Aldaya Valverde, Víctor
%A Guerrero García, Julio
%A Calixto Molina, Manuel
%T Algebraic Quantization, Good Operators and Fractional Quantum Numbers
%D 1995
%@ 0010-3616
%U http://hdl.handle.net/10317/522
%U arXiv:hep-th/9507016v4
%X 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 good
(and 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.
%K Matemática Aplicada
%K Cuantización  algebraica
%K Cuántica de números fraccionados
%~ GOEDOC, SUB GOETTINGEN