Mathematical and Numerical Modelling of Heterostructure Semiconductor Devices: From Theory to Programming

DOI10.1007/978-1-84882-937-4zbMath1252.82004OpenAlexW564343731MaRDI QIDQ3647075

E. A. B. Cole

Publication date: 30 November 2009

Full work available at URL: https://doi.org/10.1007/978-1-84882-937-4

zbMATH Keywords

eigenvalue equationMaxwell equationsSchrödinger equationfinite difference methodsgrid generationquantum mechanicsmultigrid methodsnonlinear equationsBose-Einstein statisticsdrift-diffusion modelBose-Einstein condensationNewton methodsiterative methods for linear systemsstatistical mechanicsBoltzmann transport equationblackbody radiationrelaxation methodsFermi-Dirac statisticsPauli exclusion principlelaws of thermodynamicssemiconductor devicesdirect methods for linear systemsWigner transport equationde Broglie relationFermi integralsgenetic algorithms, simulated annealingquantised harmonic oscillatorsemiconductor statistics

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical optimization and variational techniques (65K10) Numerical computation of solutions to systems of equations (65H10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of semiconductors (82D37) Technical applications of optics and electromagnetic theory (78A55) Analytic circuit theory (94C05) Transport processes in time-dependent statistical mechanics (82C70) Electromagnetic theory (general) (78A25) Finite difference methods for boundary value problems involving PDEs (65N06) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical integration (65D30) Maxwell equations (35Q61) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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