Phys. Rev. D 72, 025008 (2005) [16 pages]

Semiclassical states for constrained systems

Abstract

References

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Abhay Ashtekar^1,*, Luca Bombelli^2,†, and Alejandro Corichi^3,2,‡
¹Institute for Gravitational Physics and Geometry, Physics Department, Penn State, University Park, Pennsylvania 16802, USA
²Department of Physics and Astronomy, University of Mississippi, University, Mississippi 38677, USA
³Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A. Postal 70-543, México D.F. 04510, México

Received 15 April 2005; published 15 July 2005

The notion of semiclassical states is first sharpened by clarifying two issues that appear to have been overlooked in the literature. Systems with linear and quadratic constraints are then considered and the group averaging procedure is applied to kinematical coherent states to obtain physical semiclassical states. In the specific examples considered, the technique turns out to be surprisingly efficient, suggesting that it may well be possible to use kinematical structures to analyze the semiclassical behavior of physical states of an interesting class of constrained systems.

URL:

http://link.aps.org/doi/10.1103/PhysRevD.72.025008

DOI:

10.1103/PhysRevD.72.025008

PACS:

03.65.−w, 03.65.Sq

^*Electronic address: ashtekar@gravity.psu.edu

^†Electronic address: bombelli@olemiss.edu

^‡Electronic address: corichi@nucleares.unam.mx

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Phys. Rev. D 72, 025008 (2005) [16 pages]

Semiclassical states for constrained systems