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Phys. Rev. Lett. 95, 050405 (2005) [4 pages]

Uniform Approximation for the Coherent-State Propagator Using a Conjugate Application of the Bargmann Representation

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A. D. Ribeiro1, M. Novaes2, and M. A. M. de Aguiar2
1Instituto de Física, Universidade de São Paulo, C.P. 66318, 05315-970, São Paulo, Brazil
2Instituto de Física “Gleb Wataghin,” Universidade Estadual de Campinas, 13083-970, Campinas, São Paulo, Brazil

Received 8 April 2005; published 29 July 2005

We propose a conjugate application of the Bargmann representation of quantum mechanics. Applying the Maslov method to the semiclassical connection formula between the two representations, we derive a uniform semiclassical approximation for the coherent-state propagator which is finite at phase space caustics.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.050405
DOI:
10.1103/PhysRevLett.95.050405
PACS:
03.65.Sq, 31.15.Gy