Semiclassical States in Quantum Cosmology: Bianchi I Coherent States
| Autor: | Brett Bolen, Alejandro Corichi, Luca Bombelli |
|---|---|
| Rok vydání: | 2004 |
| Předmět: |
Physics
Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics Hilbert space Time evolution Semiclassical physics FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Invariant (physics) 01 natural sciences General Relativity and Quantum Cosmology symbols.namesake Theoretical physics Quantum cosmology Phase space 0103 physical sciences symbols Coherent states 010306 general physics |
| DOI: | 10.48550/arxiv.gr-qc/0404004 |
| Popis: | We study coherent states for Bianchi type I cosmological models, as examples of semiclassical states for time-reparametrization invariant systems. This simple model allows us to study explicitly the relationship between exact semiclassical states in the kinematical Hilbert space and corresponding ones in the physical Hilbert space, which we construct here using the group averaging technique. We find that it is possible to construct good semiclassical physical states by such a procedure in this model; we also discuss the sense in which the original kinematical states may be a good approximation to the physical ones, and the situations in which this is the case. In addition, these models can be deparametrized in a natural way, and we study the effect of time evolution on an "intrinsic" coherent state in the reduced phase space, in order to estimate the time for this state to spread significantly. Comment: 21 pages, 1 figure; Version to be published in CQG; The discussion has been slightly reorganized, two references added, and some typos corrected |
| Databáze: | OpenAIRE |
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