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Finite Element and Boundary Element Applications in Quantum Mechanics By Ramdas Ram-Mohan (Professor of Physics and Electrical and Computer Engineering, Worcester Polytechnic Institute, USA)

Finite Element and Boundary Element Applications in Quantum Mechanics
by Ramdas Ram-Mohan (Professor of Physics and Electrical and Computer Engineering, Worcester Polytechnic Institute, USA)

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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 Summary


Finite Element and Boundary Element Applications in Quantum Mechanics by Ramdas Ram-Mohan (Professor of Physics and Electrical and Computer Engineering, Worcester Polytechnic Institute, USA)

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

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Finite Element and Boundary Element Applications in Quantum Mechanics Reviews


"... 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.

Table of Contents


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. Schrodinger-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

Additional information

GOR010244548
Finite Element and Boundary Element Applications in Quantum Mechanics by Ramdas Ram-Mohan (Professor of Physics and Electrical and Computer Engineering, Worcester Polytechnic Institute, USA)
Ramdas Ram-Mohan (Professor of Physics and Electrical and Computer Engineering, Worcester Polytechnic Institute, USA)
Oxford Texts in Applied and Engineering Mathematics
Used - Very Good
Paperback
Oxford University Press
2002-07-18
624
0198525222
9780198525226
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us.