Semiclassical Spectra from Periodic-Orbit Clusters in a Mixed Phase Space

Henning Schomerus and Fritz Haake
Phys. Rev. Lett. 79, 1022 – Published 11 August 1997
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Abstract

We calculate complete quasienergy spectra (rather than partial information thereon) from classical periodic orbits for the kicked top, throughout the transition from integrability to well-developed chaos. The standard error incurred for the quasienergies is a small percentage of their mean spacing, even though the effective Planck constant is not pushed to small values. The price paid is the inclusion of collective contributions of clusters of periodic orbits near bifurcations into Gutzwiller's trace formula.

  • Received 25 March 1997

DOI:https://doi.org/10.1103/PhysRevLett.79.1022

©1997 American Physical Society

Authors & Affiliations

Henning Schomerus and Fritz Haake

  • Fachbereich Physik, Universität-Gesamthochschule Essen, D-45117 Essen, Germany

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Issue

Vol. 79, Iss. 6 — 11 August 1997

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