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Phys. Rev. A 57, 771–780 (1998)

Role that separatrices and stochastic webs play in quantum dynamics

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Go. Torres-Vega, Klaus B. Møller, and A. Zúñiga-Segundo
Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, Apartado Postal 14-740, 07000 México, Distrito Federal, Mexico

Received 12 September 1997; published in the issue dated February 1998

We numerically analyze the influence of separatrices and stochastic webs on the evolution of quantum wave functions in phase space and we compare our findings with the corresponding classical evolution. We study the dynamics in regular and nonregular systems, namely, in a quartic, the pendulum, and the kicked harmonic oscillator potentials. Regardless of the specific potential, there are common features in the dynamics, some of which are revealed when very small parts of the quantum phase-space densities are analyzed.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.57.771
DOI:
10.1103/PhysRevA.57.771
PACS:
03.65.-w