Physics – Quantum Physics
Scientific paper
2007-01-05
Physics
Quantum Physics
18 pages, 3 color figures inline
Scientific paper
10.1103/PhysRevE.77.056216
We discover quantum Hall like jumps in the saturation spectral rigidity in the semiclassical spectrum of a modified Kepler problem as a function of the interval center. These jumps correspond to integer decreases of the radial winding numbers in classical periodic motion. We also discover and explain single harmonic dominated oscillations of the level number variance with the width of the energy interval. The level number variance becomes effectively zero for the interval widths defined by the frequency of the shortest periodic orbit. This signifies that there are virtually no variations from sample to sample in the number of levels on such intervals.
Goodman B. B.
Serota R. A.
Wickramasinghe M. A. S. J. P.
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