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Zusatztext "... opens new ground for physicists! particularly those interested in condensed matter physics and chemistry..."A.K. Rajagopal! Naval Research Laboratory! Washington D.C. Klappentext Starting from a clear! concise introduction! the powerful finite element and boundary element methods of engineering are developed for application to quantum mechanics. The reader is led through illustrative examples displaying the strengths of these methods using application to fundamental quantum mechanical problems and to the design/simulation of quantum nanoscale devices. Zusammenfassung Starting from a clear, concise introduction, the powerful finite element and boundary element methods of engineering are developed for application to quantum mechanics. The reader is led through illustrative examples displaying the strengths of these methods using applications to fundamental quantum mechanical problems and to the design/simulation of quantum nanoscale devices. Inhaltsverzeichnis Part 1: Introduction to FEM 1: Introduction 2: Simple quantum systems 3: Interpolation polynomials in 1D 4: Adaptive FEM Part 2: 1D Applications 5: Quantum mechanical tunneling 6: Schrödinger-Poisson self-consistency 7: Landau states in a magnetic field 8: Wavefunction engineering Part 3: 2D Applications of FEM 9: 2D Elements and shape functions 10: Mesh Generation 11: Applications in atomic physics 12: Quantum wires 13: Quantum waveguides 14: Time dependent problems Part 4: Sparse matrix applications 15: Matrix solvers and related issues Part 5: Boundary elements 16: The boundary element method 17: BEM and surface plasmons 18: BEM and quantum applications Part 6: Appendices: A: Gaussian quadrature B: Generalized functions C: Green's functions D: Physical constants
