Quantum mechanical calculation of spectral statistics of modified Kepler problem
Quantum Physics
2011-03-16 v1 Mesoscale and Nanoscale Physics
Chaotic Dynamics
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.
Cite
@article{arxiv.1012.5828,
title = {Quantum mechanical calculation of spectral statistics of modified Kepler problem},
author = {Tao Ma and Rostislav Serota},
journal= {arXiv preprint arXiv:1012.5828},
year = {2011}
}
Comments
8 pages, 7 figures