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cond-mat1998★ 19 cited
Asymptotically exact solutions of Harper equation
A. G. Abanov, J. C. Talstra, P. B. Wiegmann
We present asymptotically exact solutions of an incommensurate Harper equation---one-dimensional Schroedinger equation of one particle on a lattice in a cosine potential. The wave…
cond-mat1995★ 37 cited
Algebraization of difference eigenvalue equations related to
P. B. Wiegmann, A. V. Zabrodin
A class of second order difference (discrete) operators with a partial algebraization of the spectrum is introduced. The eigenfuncions of the algebraized part of the spectrum are p…