Quantum mechanical calculation of spectral statistics of modified Kepler problem

Tao Ma; Rostislav Serota

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arXiv · 1012.5828

Quantum mechanical calculation of spectral statistics of modified Kepler problem

Tao Ma·Rostislav Serota

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Abstract

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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Tao Ma, Rostislav Serota. 2010-12-28. Quantum mechanical calculation of spectral statistics of modified Kepler problem. https://arxiv.org/abs/1012.5828

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