On spectral properties of adiabatically perturbed Schroedinger operators with periodic potentials
V. Buslaev (1990-1991)
Séminaire Équations aux dérivées partielles (Polytechnique)
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V. Buslaev (1990-1991)
Séminaire Équations aux dérivées partielles (Polytechnique)
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S. Naboko (1993-1994)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Sahin, Mehmet, Manafov, Manaf Dzh. (2007)
Abstract and Applied Analysis
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Everitt, W.N., Marletta, M., Zettl, A. (2001)
Journal of Inequalities and Applications [electronic only]
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Hal Sadofsky, J.P.C. Greenless (1996)
Mathematische Zeitschrift
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G. Eskin (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
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M. Sh. Birman, V. A. Sloushch (2010)
Mathematical Modelling of Natural Phenomena
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We study discrete spectrum in spectral gaps of an elliptic periodic second order differential operator in (ℝ) perturbed by a decaying potential. It is assumed that a perturbation is nonnegative and has a power-like behavior at infinity. We find asymptotics in the large coupling constant limit for the number of eigenvalues of the perturbed operator that have crossed a given point inside the gap or the edge of the gap. The...
G.D. Raikov (1992)
Inventiones mathematicae
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D. G. Vassiliev (1991-1992)
Séminaire Équations aux dérivées partielles (Polytechnique)
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