48 citations · 86 across the 11 of their papers we have counts for
11 papers
Hamiltonian Theory of the Composite Fermion Wigner Crystal
R. Narevich, Ganpathy Murthy, H. A. Fertig
Experimental results indicating the existence of the high magnetic field Wigner Crystal have been available for a number of years. While variational wavefunctions have demonstrated…
Quantum Spectra and Wave Functions in Terms of Periodic Orbits for Weakly Chaotic Systems
R. E. Prange, R. Narevich, Oleg Zaitsev
Special quantum states exist which are quasiclassical quantizations of regions of phase space that are weakly chaotic. In a weakly chaotic region, the orbits are quite regular and…
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…
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…