On the range of use of the tight-binding approximation method for a complex-valued potential

DOI10.1007/BF02583047zbMath0968.34505MaRDI QIDQ1294915

V. L. Oleinik, A. L. Mironov

Publication date: 4 September 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Uses Software

• Maple

Cites Work

• Asymptotic behavior of energy band associated with a negative energy level
• The discrete tight binding approximation
• Spectra of non-selfadjoint Hill's operators and a class of Riemann surfaces
• Limits of applicability of the tight binding approximation
• The spectrum and resolvent of a non-selfadjoint difference operator
• Estimations for negative spectral bands of three-dimensional periodical Schrödinger operator
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