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Phys. Rev. Lett. 61, 503–506 (1988)

Phase-Space Path Integrals in Terms of a Phase-Space Distribution Function

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Kazuo Takatsuka
Department of Chemistry, College of General Education, Nagoya University, Nagoya, 464-01, Japan

Received 16 March 1988; published in the issue dated 1 August 1988

A new formalism of the phase-space path integral based on our previously proposed phase-space distribution function is presented. A semiclassical theory for this path integral is also developed. It is shown that the amplitude factor associated with the semiclassical "kernel" is always finite and closely related to Greene's residue, which was devised to predict the occurrence of global chaos in classical systems.

© 1988 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.61.503
DOI:
10.1103/PhysRevLett.61.503
PACS:
03.65.Sq, 34.10.+x