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Finite Element and Boundary Element Applications in Quantum Mechanics


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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: 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


"... 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.

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