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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 89, Number 1, Pages 3–10
(Mi tmf5841)
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This article is cited in 2 scientific papers (total in 2 papers)
Spectral identities for band spectrum in one-dimensional case
B. S. Pavlov, S. V. Frolov
Abstract:
Two models with band spectrum are considered: a one-dimensional lattice
model based on the theory of extensions and a one-dimensional Schrödinger
equation with periodic potential (Hill's equation). Relationships are obtained between the Bloch functions (Floquet solutions), the dispersion, and the effective masses at the edges of the spectral bands, on the one hand, the parameters of the models, on the other.
Received: 28.03.1991
Citation:
B. S. Pavlov, S. V. Frolov, “Spectral identities for band spectrum in one-dimensional case”, TMF, 89:1 (1991), 3–10; Theoret. and Math. Phys., 89:1 (1991), 1013–1019
Linking options:
https://www.mathnet.ru/eng/tmf5841 https://www.mathnet.ru/eng/tmf/v89/i1/p3
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Abstract page: | 244 | Full-text PDF : | 91 | References: | 53 | First page: | 1 |
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