Finite Element and Boundary Element Applications in Quantum Mechanics

by Ramdas Ram-Mohan

Overview

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.

Product Details

ISBN-13:	9780198525226
Publisher:	Oxford University Press
Publication date:	11/07/2002
Series:	Oxford Texts in Applied and Engineering Mathematics , #5
Pages:	624
Product dimensions:	9.12(w) x 6.34(h) x 1.28(d)

Table of Contents

PART I: INTRODUCTION TO THE FEM1. Introduction2. Simple quantum systems3. Interpolation polynomials in one dimension4. Adaptive FEMPart II: 1D APPLICATIONS IN 1D5. Quantum mechanical tunneling6. Schrödinger-Poisson self-consistency7. Landau states in a magnetic field8. Wavefunction engineeringPart III: 2D APPLICATIONS OF THE FEM9. 2D elements and shape functions10. Mesh generation11. Applications in atomic physics12. Quantum wires13. Quantum waveguides14. Time-dependent problemsPart IV: SPARSE MATRIX APPLICATIONS15. Matrix solvers and related issuesPart V: BOUNDARY ELEMENTS16. The boundary element method17. The BEM and surface plasmons18. The BEM and quantum applicationsPart VI: APPENDICESA. Gauss quadratureB. Generalized functionsC. Green's functionsD. Physical constantsAuthor indexSubject index

Editorial Reviews

"This well-organized book is an elementary introduction to quantum mechanics, the finite element method and the boundary element methodDirected to an audience of senior undergraduate and graduate students, it features bibliographies for each chapter, and author subject indices."—Optics & Photonics News

From the Publisher