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math-ph1999
On absence of embedded eigenvalues for Schrödinger operators with perturbed periodic potentials
Peter Kuchment, Boris Vainberg
The problem of absence of eigenvalues imbedded into the continuous spectrum is considered for a Schrödinger operator with a periodic potential perturbed by a sufficiently fast deca…
math-ph1998
On absolute continuity of spectra of periodic elliptic operators
Peter Kuchment, Sergei Levendorski
The paper contains a brief description of a simplified version of A. Sobolev's proof of absolute continuity of spectra of periodic magnetic Schrödinger operators. This approach is…