Open AccessTransformation properties of gauge invariance systems at the quantum level and an application
Author(s) -
Aimin Li,
Ziping Li
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.7571
Subject(s) - physics , quantization (signal processing) , gauge theory , gauge fixing , introduction to gauge theory , quantum , transformation (genetics) , electromagnetic field , quantum mechanics , classical mechanics , invariant (physics) , path integral formulation , mathematics , gauge boson , biochemistry , chemistry , algorithm , gene
According to Faddeev-Popov's rule of path integral quantization, the generating functional of Green function in configuration space for a gauge_invariant constrained system is formulated, transformation properties of a gauge_invariant system at the quantum level are derived and the problems of the conserved laws at the quantum level are discussed. the quantal transformation properties of electromagnetic field near the interface of dielectric media under the Poincar group are studied. It is pointed out that the transverse shift of the reflection and refraction of electromagnetic waves near the interface of dielectric media also occur at the quantum level, but the results of classical theory must be amended in quantum theory.