Spectral properties of k p schrödinger operators in one space dimension

DOI10.1080/01630560008816962zbMath0961.34076OpenAlexW2028300380MaRDI QIDQ4508642

Thomas Koprucki, Hans-Christoph Kaiser, U. Bandelow, Joachim Rehberg

Publication date: 28 May 2001

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560008816962

zbMATH Keywords

spectral propertiesjumping coefficientslayered semiconductor devicesspatially one-dimensional \({\mathbf k}\cdot{\mathbf p}\) Schrödinger operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Theoretical approximation of solutions to ordinary differential equations (34A45) Eigenvalue problems for linear operators (47A75) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Software, source code, etc. for problems pertaining to quantum theory (81-04) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (1)

Discrete Transparent Boundary Conditions for Multi-Band Effective Mass Approximations

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Degenerate algebras of operators in the Pontrjagin space Π_{𝑘}
• Motion of Electrons and Holes in Perturbed Periodic Fields

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