Brett Bolen et al 2004 Class. Quantum Grav. 21 4087 doi:10.1088/0264-9381/21/17/005
Brett Bolen1,2, Luca Bombelli1,3 and Alejandro Corichi1,4
Show affiliationsWe 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.
81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)
81Q20 Semiclassical techniques including WKB and Maslov methods
Issue 17 (7 September 2004)
Received 1 April 2004
Published 10 August 2004
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