Near action degeneracy of periodic orbits in systems with non-conventional time reversal

P. A. Braun; F. Haake; S. Heusler

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Near action degeneracy of periodic orbits in systems with non-conventional time reversal

P. A. Braun·F. Haake·S. Heusler

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Abstract

Recently, Sieber and Richter calculated semiclassically a first off-diagonal contribution to the orthogonal form factor for a billiard on a surface of constant negative curvature by considering orbit pairs having almost the same action. For a generalization of this derivation to systems invariant under non-conventional time reversal symmetry, which also belong to the orthogonal symmetry class, we show in this paper that it is necessary to redefine the configuration space in an appropriate way.

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P. A. Braun, F. Haake, S. Heusler. 2001-06-22. Near action degeneracy of periodic orbits in systems with non-conventional time reversal. https://arxiv.org/abs/nlin/0106035

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