Time evolution and observables in constrained systems

Details Time evolution and observables in constrained systems Time evolution and observables in constrained systems

1995-12-12

arxiv.org/abs/gr-qc/9512026v1

Class.Quant.Grav. 13 (1996) 1353-1376

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, Latex file

Scientific paper

10.1088/0264-9381/13/6/010

The discussion is limited to first-class parametrized systems, where the definition of time evolution and observables is not trivial, and to finite dimensional systems in order that technicalities do not obscure the conceptual framework. The existence of reasonable true, or physical, degrees of freedom is rigorously defined and called {\em local reducibility}. A proof is given that any locally reducible system admits a complete set of perennials. For locally reducible systems, the most general construction of time evolution in the Schroedinger and Heisenberg form that uses only geometry of the phase space is described. The time shifts are not required to be 1symmetries. A relation between perennials and observables of the Schroedinger or Heisenberg type results: such observables can be identified with certain classes of perennials and the structure of the classes depends on the time evolution. The time evolution between two non-global transversal surfaces is studied. The problem is posed and solved within the framework of the ordinary quantum mechanics. The resulting non-unitarity is different from that known in the field theory (Hawking effect): state norms need not be preserved so that the system can be lost during the evolution of this kind.

Affiliated with

Also associated with

No associations

Rating

Time evolution and observables in constrained systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Time evolution and observables in constrained systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time evolution and observables in constrained systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-200477