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
Brett Bolen et al 2004 Class. Quantum Grav. 21 4087
Brett Bolen et al 2001 Class. Quantum Grav. 18 1173
Lei Ding et al 2006 Phys. Med. Biol. 51 4047
Isabel Fernández Torrente et al 2008 J. Phys.: Condens. Matter 20 184001
Romain Guigon et al 2008 Smart Mater. Struct. 17 015038
Rakchanok Rungsawang et al 2003 J. Phys. D: Appl. Phys. 36 229
Toshiaki Hattori et al 2004 J. Phys. D: Appl. Phys. 37 770
Sandeep V Anand and D Roy Mahapatra 2009 Nanotechnology 20 145707
Takashi Sakajo 2003 Nonlinearity 16 1319
W H Song et al 2008 J. Micromech. Microeng. 18 045009