TY - JOUR 
A1 - Navarro, Miguel
AU - Aldaya Valverde, Víctor
AU - Calixto Molina, Manuel
T1 - Group Quantization on Configuration Space
Y1 - 1996
SN - 0022-2488
UR - http://hdl.handle.net/10317/523
UR - arXiv:hep-th/9501085v1
AB - 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.
KW - Matemática Aplicada
KW - Simetria de grupo
KW - Cuantización de grupos
KW - Campos Klein-Gordon
KW - Oscilador harmónico
LA - eng
PB - American Institute of Physics
ER -