NDLI: Quantum kinematics and the Lie group structure of non-Abelian quantum mechanics

Content Provider	Scilit
Author	Krause, J.
Copyright Year	1985
Description	Journal: Journal of Physics A: General Physics A formalism of quantum kinematics which rests on the regular representation of a Lie group is proposed. This representation leads to explicit canonical commutation relations for non-Abelian dynamical variables which, together with the Lie algebra, define the kinematic algebra. Generalised equations of motion for the group-parameter-dependent operators, as well as generalised wave equations, are introduced over the group manifold considered as a background arena. The formalism proposed affords a method of geometric quantisation stemming directly from the observed symmetries of a system.
Related Links	http://iopscience.iop.org/article/10.1088/0305-4470/18/9/014/pdf
Ending Page	1314
Page Count	6
Starting Page	1309
ISSN	00223689
DOI	10.1088/0305-4470/18/9/014
Journal	Journal of Physics A: General Physics
Issue Number	9
Volume Number	18
Language	English
Publisher	IOP Publishing
Publisher Date	1985-06-21
Access Restriction	Open
Subject Keyword	Journal: Journal of Physics A: General Physics Mathematical Physics Wave Equation Canonical Commutation Relation Quantum Mechanics Equation of Motion Lie Algebra Lie Group
Content Type	Text
Resource Type	Article

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Quantum kinematics and the Lie group structure of non-Abelian quantum mechanics