Quantum corrections to the semiclassical quantization of a nonintegrable system

Details Quantum corrections to the semiclassical quantization of a nonintegrable system Quantum corrections to the semiclassical quantization of a nonintegrable system

1996-01-22

arxiv.org/abs/chao-dyn/9601015v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages plain Latex file, 2 Postscript figures are included. Contact author: Robnik@uni-mb.si, submitted to J. Phys. A

Scientific paper

We study the semiclassical behaviour of a two--dimensional nonintegrable system. In particular we analyze the question of quantum corrections to the semiclassical quantization obtaining up to the second order of perturbation theory an explicit analytical formula for the energy levels, which is the usual semiclassical one plus quantum corrections. We compare the "exact" levels obtained numerically to the semiclassical levels studying also the effects of quantum corrections.

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