The Resource Regularity and approximability of electronic wave functions, Harry Yserentant
Regularity and approximability of electronic wave functions, Harry Yserentant
Resource Information
The item Regularity and approximability of electronic wave functions, Harry Yserentant represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Regularity and approximability of electronic wave functions, Harry Yserentant represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (viii, 182 pages)
 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 RadialAngular Decomposition
 Isbn
 9783642122477
 Label
 Regularity and approximability of electronic wave functions
 Title
 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
 http://library.link/vocab/creatorName
 Yserentant, Harry
 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
 http://library.link/vocab/subjectName

 Electron configuration
 Wave functions
 Schrödinger equation
 Approximation theory
 Approximation theory
 Electron configuration
 Schrödinger equation
 Wave functions
 SchrödingerGleichung
 Wellenfunktion
 Approximation
 Regularität
 Label
 Regularity and approximability of electronic wave functions, Harry Yserentant
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 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 RadialAngular Decomposition
 Control code
 663094130
 Dimensions
 unknown
 Extent
 1 online resource (viii, 182 pages)
 Form of item
 online
 Isbn
 9783642122477
 Lccn
 2010927755
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783642122484
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9783642122477
 Specific material designation
 remote
 System control number
 (OCoLC)663094130
 Label
 Regularity and approximability of electronic wave functions, Harry Yserentant
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 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 RadialAngular Decomposition
 Control code
 663094130
 Dimensions
 unknown
 Extent
 1 online resource (viii, 182 pages)
 Form of item
 online
 Isbn
 9783642122477
 Lccn
 2010927755
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783642122484
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9783642122477
 Specific material designation
 remote
 System control number
 (OCoLC)663094130
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
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