Deparametrization and path integral quantization of cosmological models /
The problem of time is a central feature of quantum cosmology: differing from ordinary quantum mechanics, in cosmology there is nothing "outside" the system which plays the role of clock, and this makes difficult the obtention of a consistent quantization. A possible solution is to assume...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
River Edge, N.J. :
World Scientific,
©2001.
|
| Series: | World Scientific lecture notes in physics ;
v. 69. |
| Subjects: | |
| Online Access: | CONNECT |
Table of Contents:
- Ch. 1. Introduction
- ch. 2. The gravitational field as a constrained Hamiltonian system. 2.1. Momentum and Hamiltonian constraints. 2.2. Minisuperspaces as constrained systems. 2.3. Quantization
- ch. 3. Deparametrization and path integral quantization. 3.1. The identification of time. 3.2. Gauge-invariant action for a parametrized system. 3.3. Path integral. 3.4. Examples
- ch. 4. Homogeneous relativistic cosmologies. 4.1. Isotropic universes. 4.2. Anisotropic universes
- ch. 5. String cosmologies. 5.1. String theory on background fields. 5.2. String cosmological models. 5.3. Path integral quantization
- ch. 6. Canonical quantization. 6.1. Approximate solutions of the Wheeler-DeWitt equation. 6.2. Gauge fixation and Schrodinger equation for isotropic models. 6.3. The Taub universe. 6.4. String cosmologies
- ch. 7. Discussion.
