Squeezed Wave Packets in Quantum Cosmology

Details Squeezed Wave Packets in Quantum Cosmology Squeezed Wave Packets in Quantum Cosmology

Nov 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010ijtp...49.2910p&link_type=abstract

International Journal of Theoretical Physics, Volume 49, Issue 11, pp.2910-2917

Physics

Quantum Cosmology, Classical-Quantum Correspondence, Kaluza-Klein Cosmology

Scientific paper

We use an appropriate initial condition for constructing squeezed wave packets in the context of Wheeler-DeWitt equation with complete classical description. This choice of initial condition does not alter the classical paths and only affect the quantum mechanical picture. To demonstrate the method, we consider an empty 4+1-dimensional Kaluza-Klein quantum cosmology in the presence of a negative cosmological constant. We show that these wave packets do not disperse and sharply peak on the classical trajectories in the whole configuration space. So, the probability of finding the corresponding physical quantities approaches zero everywhere except on the classical paths.

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