Multidimensional periodic Schrödinger operator. Perturbation theory and applications

DOI10.1007/978-3-319-16643-8zbMath1322.81005OpenAlexW4230902210MaRDI QIDQ2339776

Oktay A. Veliev

Publication date: 7 April 2015

Published in: Springer Tracts in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-16643-8

zbMATH Keywords

Schrödinger operatorSchrödinger equationFermi surfaceband structureBloch functionsBloch eigenvaluesBrillouin zonesdiffraction planessolid body physics

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Inverse scattering problems in quantum theory (81U40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Statistical mechanics of solids (82D20)

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