Regularity and Approximability of Electronic Wave Functions

• Main Author: Yserentant, Harry (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Mathematics, 2000
• Subjects: Mathematics.; Approximation theory.; Partial differential equations.; Numerical analysis.; Partial Differential Equations.; Approximations and Expansions.; Numerical Analysis.

The electronic Schrödinger equation describes the motion of N-electrons under Coulomb interaction forces in a field of clamped nuclei. The solutions of this equation, the electronic wave functions, depend on 3N variables, with three spatial dimensions for each electron. Approximating these solutions...

Table of Contents:

• and Outline
• Fourier Analysis
• The Basics of Quantum Mechanics
• The Electronic Schrödinger Equation
• Spectrum and Exponential Decay
• Existence and Decay of Mixed Derivatives
• Eigenfunction Expansions
• Convergence Rates and Complexity Bounds
• The Radial-Angular Decomposition.