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This article is cited in 17 scientific papers (total in 17 papers)
The Spectrum of the Two-Dimensional Periodic Schrödinger Operator
L. I. Danilov Physical-Technical Institute of the Ural Branch of the Russian Academy of Sciences
Abstract:
The absence of eigenvalues (of infinite multiplicity) for the two-dimensional periodic Schrödinger operator with a variable metric is proved. The method of proof does not use the change of variables reducing the metric to a scalar form.
Keywords:
Schrödinger operator, spectrum, periodic electric potential, periodic magnetic potential, variable metric.
Received: 10.01.2002 Revised: 13.06.2002
Citation:
L. I. Danilov, “The Spectrum of the Two-Dimensional Periodic Schrödinger Operator”, TMF, 134:3 (2003), 447–459; Theoret. and Math. Phys., 134:3 (2003), 392–403
Linking options:
https://www.mathnet.ru/eng/tmf160https://doi.org/10.4213/tmf160 https://www.mathnet.ru/eng/tmf/v134/i3/p447
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