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

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Summary

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.

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

This book introduces the finite element and boundary element methods (FEM & 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 of Schroedinger'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 a time-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 graduate students and researchers in basic quantum theory, quantum semiconductor modeling, computational physics, mathematics and chemistry.
".. well structured and remarkably comprehensive..." John Pask, Lawrence Livermore National Laboratory, CA
"... an excellent textbook to introduce FEM and BEM to students..." Shun-Lien Chua ng, University of Illinois at Urbana-Champaign
"... opens new ground for physicists, particularly those interested in condensed matter physics and chemistry..." A.K. Rajagopal, Naval Research Laboratory, Washington D.C.
SKU Unavailable
ISBN 13 9780198525219
ISBN 10 0198525214
Title Finite Element and Boundary Element Applications in Quantum Mechanics
Author Ramdas Ram-Mohan
Series Oxford Texts In Applied And Engineering Mathematics
Condition Unavailable
Binding Type Hardback
Publisher Oxford University Press
Year published 2002-09-05
Number of pages 624
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.