Mathematical analysis of the two-band Schrödinger model

DOI10.1002/mma.961zbMath1140.81352OpenAlexW2065112724MaRDI QIDQ3507674

Jihene Kefi-Ferhane, Naoufel Ben Abdallah

Publication date: 20 June 2008

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.961

zbMATH Keywords

conduction bandKane modelgap energytwo-band Schrödinger modelValence band

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs of mixed type (35M10) Statistical mechanics of solids (82D20) Transport processes in time-dependent statistical mechanics (82C70) Molecular physics (81V55) Applications of boundary value problems involving ordinary differential equations (34B60)

Related Items (4)

Diffusive Limits for a Quantum Transport Model with a Strong Field ⋮ Mathematical Analysis of a Nonparabolic Two-Band Schrödinger-Poisson Problem ⋮ AN EFFECTIVE MASS MODEL FOR THE SIMULATION OF ULTRA-SCALED CONFINED DEVICES ⋮ Discrete Transparent Boundary Conditions for Multi-Band Effective Mass Approximations

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