Finite Element and Boundary Element Applications in Quantum Mechanics by Ramdas Ram-MohanFinite Element and Boundary Element Applications in Quantum Mechanics by Ramdas Ram-Mohan

Finite Element and Boundary Element Applications in Quantum Mechanics

byRamdas Ram-Mohan

Paperback | May 15, 2002

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This book introduces the finite element and boundary element methods (FEM and BEM) for applications to quantum mechanical systems. A discretization of the action integral with finite elements, followed by application of variational principles, brings a very general approach to the solution ofSchroedinger's equation for physical systems in arbitrary geometries with complex mixed boundary conditions. The variational approach is a common thread through the book and is used for the improvement of solutions to spectroscopic accuracy, to adaptively improve finite element meshs, to develop atime-dependent theory, and also to generate the solution of large sparse matrix eigenvalue problems. A thorough introduction to BEM is given using the modelling of surface plasmons, quantum electron waveguides, and quantum scattering as illustrative examples. The book should be useful to graduatestudents and researchers in basic quantum theory, quantum semiconductor modeling, computational physics, mathematics and chemistry
Ramdas Ram-Mohan is a Professor of Physics and Electrical and Computer Engineering, Worcester Polytechnic Institute, USA.
Title:Finite Element and Boundary Element Applications in Quantum MechanicsFormat:PaperbackDimensions:624 pages, 9.21 × 6.14 × 1.27 inPublished:May 15, 2002Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198525222

ISBN - 13:9780198525226

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Table of Contents

Part 1: Introduction to FEM1. Introduction2. Simple quantum systems3. Interpolation polynomials in 1D4. Adaptive FEMPart 2: 1D Applications5. Quantum mechanical tunneling6. Schrodinger-Poisson self-consistency7. Landau states in a magnetic field8. Wavefunction engineeringPart 3: 2D Applications of FEM9. 2D Elements and shape functions10. Mesh Generation11. Applications in atomic physics12. Quantum wires13. Quantum waveguides14. Time dependent problemsPart 4: Sparse matrix applications15. Matrix solvers and related issuesPart 5: Boundary elements16. The boundary element method17. BEM and surface plasmons18. BEM and quantum applicationsPart 6: Appendices:A. Gaussian quadratureB. Generalized functionsC. Green's functionsD. Physical constants

Editorial Reviews

"... opens new ground for physicists, particularly those interested in condensed matter physics and chemistry..."A.K. Rajagopal, Naval Research Laboratory, Washington D.C.