Periodic orbit quantization of a Hamiltonian map on the sphere

Details Periodic orbit quantization of a Hamiltonian map on the sphere Periodic orbit quantization of a Hamiltonian map on the sphere

2001-02-28

arxiv.org/abs/nlin/0102039v2

J. Phys. A 34, 7541 (2001)

Nonlinear Sciences

Chaotic Dynamics

23 pages, REVTEX4

Scientific paper

10.1088/0305-4470/34/37/309

In a previous paper we introduced examples of Hamiltonian mappings with phase
space structures resembling circle packings. It was shown that a vast number of
periodic orbits can be found using special properties. We now use this
information to explore the semiclassical quantization of one of these maps.

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