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...

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Bibliographic Details
Main Author: Yserentant, Harry
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2010, 2010
Edition:1st ed. 2010
Series:Lecture Notes in Mathematics
Subjects:
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