Signatures of Classical Periodic Orbits on a Smooth Quantum System

Details Signatures of Classical Periodic Orbits on a Smooth Quantum System Signatures of Classical Periodic Orbits on a Smooth Quantum System

1995-05-08

arxiv.org/abs/chao-dyn/9505002v2

Nonlinear Sciences

Chaotic Dynamics

12 pages, uuencoded postscript file (1526 kb)

Scientific paper

10.1103/PhysRevE.51.5396

Gutzwiller's trace formula and Bogomolny's formula are applied to a
non--specific, non--scalable Hamiltonian system, a two--dimensional anharmonic
oscillator. These semiclassical theories reproduce well the exact quantal
results over a large spatial and energy range.

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