Regularity and approximability of electronic wave functions
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The work Regularity and approximability of electronic wave functions represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Regularity and approximability of electronic wave functions
Resource Information
The work Regularity and approximability of electronic wave functions represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Regularity and approximability of electronic wave functions
 Statement of responsibility
 Harry Yserentant
 Subject

 Approximation theory
 Approximation theory
 Approximation theory
 Electron configuration
 Electron configuration
 Electron configuration
 Regularität
 Schrödinger equation
 Schrödinger equation
 Schrödinger equation
 SchrödingerGleichung
 Wave functions
 Wave functions
 Wave functions
 Wellenfunktion
 Approximation
 Language
 eng
 Summary
 The electronic Schrödinger equation describes the motion of Nelectrons 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 is thus inordinately challenging, and it is generally believed that a reduction to simplified models, such as those of the HartreeFock method or density functional theory, is the only tenable approach. This book seeks to show readers that this conventional wisdom need not be ironclad: the regularity of the solutions, which increases with the number of electrons, the decay behavior of their mixed derivatives, and the antisymmetry enforced by the Pauli principle contribute properties that allow these functions to be approximated with an order of complexity which comes arbitrarily close to that for a system of one or two electrons. The text is accessible to a mathematical audience at the beginning graduate level as well as to physicists and theoretical chemists with a comparable mathematical background and requires no deeper knowledge of the theory of partial differential equations, functional analysis, or quantum theory
 Cataloging source
 GW5XE
 Dewey number
 515.353
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number

 QC174.26.W3
 QA3
 LC item number

 .Y74 2010
 .L28 no.2000
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Lecture notes in mathematics,
 Series volume
 2000
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 Regularity and approximability of electronic wave functions, Harry Yserentant
 Regularity and approximability of electronic wave functions, Harry Yserentant
 Regularity and approximability of electronic wave functions, Harry Yserentant
 Regularity and approximability of electronic wave functions, Harry Yserentant
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