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Your search keyword '"Safronov O"' showing total 2 results
Start Over Author "Safronov O" Topic partial differential equations
2 results on '"Safronov O"'

1. Cwikel and Quasi-Szego Type Estimates for Random Operators.

Author

Holt, J., Molchanov, S., and Safronov, O.

Subjects
SCHRODINGER operator, DIFFERENTIAL operators, SCHRODINGER equation, PARTIAL differential equations, EIGENVALUES
Abstract

We consider Schrodinger operators with nonergodic random potentials. Specifically, we are interested in eigenvalue estimates and estimates of the entropy for the absolutely continuous part of the spectral measure. We prove that increasing oscillations in the potential at infinity have the same effect on the properties of the spectrum as the decay of the potential. [ABSTRACT FROM AUTHOR]

Published
2008
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2. Absolutely continuous spectrum of a class of random nonergodic Schrödinger operators.

Author

Frank, R. L. and Safronov, O.

Subjects
*SCHRODINGER operator, *CONTINUOUS spectrum (Atomic spectrum), *SCATTERING (Mathematics), *QUANTUM theory, *PARTIAL differential equations
Abstract

We consider a class of random Schrödinger operators with nondecaying potentials and prove that their absolutely continuous spectrum almost surely fills the positive half-line. We establish the existence of the wave operators using the trace-class scattering theory. [ABSTRACT FROM AUTHOR]

Published
2005
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