125 citations · 159 across the 9 of their papers we have counts for
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Trace Formulas and Bogomolny's Transfer Operator
Oleg Zaitsev, R. Narevich, R. E. Prange
The trace formulas commonly used in discussing spectral properties of quantum or wave systems are derived simply and directly from the Bogomolny transfer operator. Special cases ar…
Quasiclassical Surface of Section Perturbation Theory
R. E. Prange, R. Narevich, Oleg Zaitsev
Perturbation theory, the quasiclassical approximation and the quantum surface of section method are combined for the first time. This gives a new solution of the the long standing…
Quasiclassical Surface of Section Perturbation Theory
R. E. Prange, R. Narevich, Oleg Zaitsev
Perturbation theory, the quasiclassical approximation and the quantum surface of section method are combined for the first time. This solves the long standing problem of quantizing…
The spectral form factor is not self-averaging
R. E. Prange
The spectral form factor, k(t), is the Fourier transform of the two level correlation function C(x), which is the averaged probability for finding two energy levels spaced x mean l…
Quasiclassical Random Matrix Theory
R. E. Prange
We directly combine ideas of the quasiclassical approximation with random matrix theory and apply them to the study of the spectrum, in particular to the two-level correlator. Bogo…