4 citations · 8 across the 4 of their papers we have counts for
4 papers
Quantum jumps of saturation level rigidity and anomalous oscillations of level number variance in the semiclassical spectrum of a modified Kepler problem
J. M. A. S. P. Wickramasinghe, B. Goodman, R. A. Serota
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…
Mesoscopic fluctuations of off-diagonal matrix elements of the angular momentum and orbital magnetism of free electrons in a rectangular box
M. X. Lou, J. M. A. S. P. Wickramasinghe, R. A. Serota
We study, analytically and numerically, mesoscopic fluctuations of the off-diagonal matrix elements of the orbital angular momentum between the nearest energy levels $i=(n_{x},n_{y…
The Absence Of Saturation Of The Level Number Variance In A Rectangular Box
J. M. A. S. P. Wickramasinghe, R. A. Serota
The variance of the number of levels in an energy interval around a level with large quantum numbers (semiclassical quantization) is studied for a particle in a rectangular box. Sa…
Level correlations in integrable systems
R. A. Serota, J. M. A. S. P. Wickramasinghe
We derive a simple analytical expression for the level correlation function of an integrable system. It accounts for both the lack of correlations at smaller energy scales and for…