A periodic orbit basis for the Quantum Baker Map

Details A periodic orbit basis for the Quantum Baker Map A periodic orbit basis for the Quantum Baker Map

2008-06-27

arxiv.org/abs/0806.4590v2

Phys. Rev. E 78, 036221 (2008)

Nonlinear Sciences

Chaotic Dynamics

8 pages, 9 figures. v2 has minor changes

Scientific paper

A set of quantum states, dynamically related to the classical periodic orbits of a chaotic map, is used as a basis in which the description of the eigenstates of its quantum version is greatly simplified. This set can be improved with the inclusion of short time propagation along the stable and unstable manifolds of the periodic orbits resulting in a construction similar to the scar functions of Vergini (Jour. Phys. A \textbf{33}, (2000) 4709). The average participation ratio is used to quantify the quality of the basis.

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