4 papers
Semiclassical surface of section perturbation theory
Oleg Zaitsev
We derive analytic expressions for the wavefunctions and energy levels in the semiclassical approximation for perturbed integrable systems. We find that some eigenstates of such sy…
Quasiclassical Born-Oppenheimer approximations
Oleg Zaitsev, R. Narevich, R. E. Prange
We discuss several problems in quasiclassical physics for which approximate solutions were recently obtained by a new method, and which can also be solved by novel versions of the…
Localization by interference: Square billiard with a magnetic flux
R. Narevich, R. E. Prange, Oleg Zaitsev
Eigenstates and energy levels of a square quantum billiard in a magnetic field, or with an Aharonov-Bohm flux line, are found in quasiclassical approximation, that is, for high eno…
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…