General solution theory for Schrödinger's equation in arbitrary 2D- periodic spatial structures. II: The synthesis of global solutions by layer composition

DOI10.1016/0003-4916(88)90152-2zbMath0653.35020OpenAlexW1974879147MaRDI QIDQ1107717

Gerhard Wachutka

Publication date: 1988

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(88)90152-2

zbMATH Keywords

asymptotic behaviorreflectiontransmissionglobal solutionsSchrödinger's equationlayer composition processBlock wavesboundary controlled monolayers methodcurrent sum rulesemi-infinite crystal structure

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• General solution theory for Schrödinger's equation in arbitrary 2D- periodic spatial structures. I: The monolayer problem
• Analytic Properties of Bloch Waves and Wannier Functions
• Scattering theory for Schrödinger operators with L∞ potentials and distorted Bloch waves
• Partial Differential Equations with Periodic Coefficients and Bloch Waves in Crystals
• An Algorithm for Generalized Matrix Eigenvalue Problems
• On the General Theory of Surface States and Scattering of Electrons in Solids
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