Regularity and Approximability of Electronic Wave Functions

• Κύριος συγγραφέας: Yserentant, Harry (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Σειρά: Lecture Notes in Mathematics, 2000
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.