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Limits of applicability of the tight binding approximation

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Publication:1918803
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DOI10.1007/BF01018800zbMath0849.34073MaRDI QIDQ1918803

V. L. Oleinik, A. L. Mironov

Publication date: 3 September 1996

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


zbMATH Keywords

potentialasymptotic behaviortight binding approximation


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)


Related Items (3)

On the Validity of the Tight-Binding Method for Describing Systems of Subwavelength Resonators ⋮ On approximation of the ``membrane Schrödinger operator by the ``crystal operator ⋮ On the range of use of the tight-binding approximation method for a complex-valued potential



Cites Work

  • Asymptotic behavior of energy band associated with a negative energy level
  • The Energy Band Structure of a Linear Metal
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