Inverse spectral problem for the Schrödinger operator with periodic magnetic and electric potentials
G. Eskin (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
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G. Eskin (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Korotyaev, E., Kutsenko, A. (2004)
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M. Burnat (1982)
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M. Burnat (1982)
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M.M. Skriganov (1985)
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Jan Herczyński (1987)
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Marek Burnat, Jan Herczyński, Bogdan Zawisza (1987)
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Plamen Djakov, Boris Mityagin (2012)
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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...
Rainer Hempel (1984)
Manuscripta mathematica
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