Finite Element and Boundary Element Appications in Quantum Mechanics

L. Ramdas Ram-Mohan

624 pages, parution le 10/12/2002

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Résumé

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.

Readership: Graduate students and researchers in basic quantum theory, quantum semiconductor modeling, computational physics, mathematics and chemistry.

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 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

L'auteur - L. Ramdas Ram-Mohan

Ramdas Ram-Mohan, Professor of Physics and Electrical and Computer Engineering, Worcester Polytechnic Institute, USA

Caractéristiques techniques

	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	L. Ramdas Ram-Mohan
Parution	10/12/2002
Nb. de pages	624
Format	15,5 x 23,5
Couverture	Broché
Poids	851g
Intérieur	Noir et Blanc
EAN13	9780198525226
ISBN13	978-0-19-852522-6