%0 Journal Article 
%A Navarro, Miguel
%A Aldaya Valverde, Víctor
%A Calixto Molina, Manuel
%T Group Quantization on Configuration Space
%D 1996
%@ 0022-2488
%U http://hdl.handle.net/10317/523
%U arXiv:hep-th/9501085v1
%X New features of a previously introduced Group Approach to Quantization are presented.
We show that the construction of the symmetry group associated with the system to be
quantized (the “quantizing group”) does not require, in general, the explicit construction of the phase space of the system, i.e., does not require the actual knowledgement of the general solution of the classical equations of motion: in many relevant cases an implicit construction of the group can be given, directly, on configuration space. As an application
we construct the symmetry group for the conformally invariant massless scalar and electromagnetic fields and the scalar and Dirac fields evolving in a symmetric curved spacetime or interacting with symmetric classical electromagnetic fields. Further generalizations of the present procedure are also discussed and in particular the conditions under which non-abelian (mainly Kac-Moody) groups can be included.
%K Matemática Aplicada
%K Simetria de grupo
%K Cuantización de grupos
%K Campos Klein-Gordon
%K Oscilador harmónico
%~ GOEDOC, SUB GOETTINGEN