Relational evolution of the degrees of freedom of generally covariant quantum theories

Details Relational evolution of the degrees of freedom of generally covariant quantum theories Relational evolution of the degrees of freedom of generally covariant quantum theories

2000-02-04

arxiv.org/abs/gr-qc/0002023v2

Gen.Rel.Grav. 33 (2001) 1-28

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, no figures, Latex file. Revised version

Scientific paper

We study the classical and quantum dynamics of generally covariant theories with vanishing a Hamiltonian and with a finite number of degrees of freedom. In particular, the geometric meaning of the full solution of the relational evolution of the degrees of freedom is displayed, which means the determination of the total number of evolving constants of motion required. Also a method to find evolving constants is proposed. The generalized Heinsenberg picture needs M time variables, as opposed to the Heisenberg picture of standard quantum mechanics where one time variable t is enough. As an application, we study the parameterized harmonic oscillator and the SL(2,R) model with one physical degree of freedom that mimics the constraint structure of general relativity where a Schrodinger equation emerges in its quantum dynamics.

Affiliated with

Also associated with

No associations

Rating

Relational evolution of the degrees of freedom of generally covariant quantum theories 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 Relational evolution of the degrees of freedom of generally covariant quantum theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relational evolution of the degrees of freedom of generally covariant quantum theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-232940