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- Title
Relational Evolution of the Degrees of Freedom of Generally Covariant Quantum Theories.
- Authors
Montesinos, Merced
- Abstract
We study the classical and quantum dynamics of generally covariant theories with vanishing 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 Heisenberg 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 parametrized harmonic oscillator and the SL(2, R) model with one physical degree of freedom that mimics the constraint structure of general relativity where a Schrödinger equation emerges in its quantum dynamics.
- Publication
General Relativity & Gravitation, 2001, Vol 33, Issue 1, p1
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1023/A:1002067601136