Quantum mechanical calculation of spectral statistics of modified Kepler problem

Details Quantum mechanical calculation of spectral statistics of modified Kepler problem Quantum mechanical calculation of spectral statistics of modified Kepler problem

2010-12-28

arxiv.org/abs/1012.5828v1

Physics

Quantum Physics

8 pages, 7 figures

Scientific paper

Discrepancy between periodic orbit theory and numerical calculation of a modified Kepler problem is cleared by a quantum mechanical calculation. The diagonal approximation already gives a good fit for the numerical calculation. A better result yet is gained by considering the coherent interference between the classical periodic orbits and the Balian-Bloch term. This approach produces improved results for the rectangular billiards as well.

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