Finite Element and Boundary Element Applications in Quantum Mechanics

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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.
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Product Details

Table of Contents

PART I: INTRODUCTION TO THE FEM
1. Introduction
2. Simple quantum systems
3. Interpolation polynomials in one dimension
4. Adaptive FEM
Part II: 1D APPLICATIONS IN 1D
5. Quantum mechanical tunneling
6. Schrödinger-Poisson self-consistency
7. Landau states in a magnetic field
8. Wavefunction engineering
Part III: 2D APPLICATIONS OF THE 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 IV: SPARSE MATRIX APPLICATIONS
15. Matrix solvers and related issues
Part V: BOUNDARY ELEMENTS
16. The boundary element method
17. The BEM and surface plasmons
18. The BEM and quantum applications
Part VI: APPENDICES
A. Gauss quadrature B. Generalized functions C. Green's functions D. Physical constants Author index Subject index

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