Regularity and Approximability of Electronic Wave Functions

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...

Full description

Bibliographic Details
Main Author: Yserentant, Harry
Format: eBook
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2010, 2010
Edition:1st ed. 2010
Series:Lecture Notes in Mathematics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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