62 citations · 76 across the 18 of their papers we have counts for
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Spectral and Parametric Averaging for Integrable Systems
Tao Ma, R. A. Serota
We analyze two theoretical approaches to ensemble averaging for integrable systems in quantum chaos - spectral averaging and parametric averaging. For spectral averaging, we introd…
Global Level Number Variance in Integrable Systems
Tao Ma, R. A. Serota
We study previously un-researched second order statistics - correlation function of spectral staircase and global level number variance - in generic integrable systems with no extr…
Elliptic billiard - a non-trivial integrable system
Tao Ma, R. A. Serota
We investigate the semiclassical energy spectrum of quantum elliptic billiard. The nearest neighbor spacing distribution, level number variance and spectral rigidity support the no…
Level Repulsion in Integrable Systems
Tao Ma, R. A. Serota
Contrary to conventional wisdom, level repulsion in semiclassical spectrum is not just a feature of classically chaotic systems, but classically integrable systems as well. While i…
Quantum mechanical calculation of spectral statistics of modified Kepler problem
Tao Ma, Rostislav Serota
Discrepancy between periodic orbit theory and numerical calculation of a modified Kepler problem is cleared by a quantum mechanical calculation. The diagonal approximation already…
Exact solution of one class of Maryland model
Tao Ma
The Hamiltonian H of one-body Maryland model is defined as the sum of a linear unperturbed Hamiltonian H_0 and the interaction V, which is a Toeplitz matrix. Maryland model with a…