Physics – Quantum Physics
Scientific paper
2006-06-27
International Journal of Theoretical Physics 44 (2005) 1889-1904
Physics
Quantum Physics
"Quantum Structures 2004" - Meeting of the International Quantum Structures Association; Denver, Colorado; 17-22 July, 2004
Scientific paper
10.1007/s10773-005-8955-3
The basic ideas in the theory of quantum mechanics on phase space are illustrated through an introduction of generalities, which seem to underlie most if not all such formulations and follow with examples taken primarily from kinematical particle model descriptions exhibiting either Galileian or Lorentzian symmetry. The structures of fundamental importance are the relevant (Lie) groups of symmetries and their homogeneous (and associated) spaces that, in the situations of interest, also possess Hamiltonian structures. Comments are made on the relation between the theory outlined and a recent paper by Carmeli, Cassinelli, Toigo, and Vacchini.
Brooke J. A.
Schroeck F. E. Jr.
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