General initial value form of the semiclassical propagator

Bambi Hu; Quanlin Jie; Baowen Li; Shunjin Wang

doi:10.1103/PhysRevA.63.044102

General initial value form of the semiclassical propagator

Bambi Hu, Quanlin Jie, Baowen Li, Shunjin Wang

Research output: Contribution to journal › Journal article › peer-review

5 Citations (Scopus)

Abstract

We show a general initial value form of the semiclassical propagator. Similar to cellular dynamics, this formulation involves only the nearby orbits approximation: the evolution of nearby orbits is approximated by linearized dynamics. This phase space smearing formulation keeps the accuracy of the original Van Vleck-Gutzwiller propagator. As an illustration, we present a simple initial value form of the semiclassical propagator. It is nonsingular everywhere and is efficient for numeric implementation.

Original language	English
Article number	044102
Number of pages	4
Journal	Physical Review A
Volume	63
Issue number	4
Early online date	16 Mar 2001
DOIs	https://doi.org/10.1103/PhysRevA.63.044102
Publication status	Published - Apr 2001

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AB - We show a general initial value form of the semiclassical propagator. Similar to cellular dynamics, this formulation involves only the nearby orbits approximation: the evolution of nearby orbits is approximated by linearized dynamics. This phase space smearing formulation keeps the accuracy of the original Van Vleck-Gutzwiller propagator. As an illustration, we present a simple initial value form of the semiclassical propagator. It is nonsingular everywhere and is efficient for numeric implementation.

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General initial value form of the semiclassical propagator

Abstract

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