Coverart for item
The Resource Regularity and approximability of electronic wave functions, Harry Yserentant

Regularity and approximability of electronic wave functions, Harry Yserentant

Label
Regularity and approximability of electronic wave functions
Title
Regularity and approximability of electronic wave functions
Statement of responsibility
Harry Yserentant
Creator
Subject
Language
eng
Summary
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 is thus inordinately challenging, and it is generally believed that a reduction to simplified models, such as those of the Hartree-Fock 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
Member of
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
  • Schrödinger-Gleichung
  • Wellenfunktion
  • Approximation
  • Regularität
Label
Regularity and approximability of electronic wave functions, Harry Yserentant
Instantiates
Publication
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 Radial-Angular 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
10.1007/978-3-642-12248-4
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-642-12247-7
Specific material designation
remote
System control number
(OCoLC)663094130
Label
Regularity and approximability of electronic wave functions, Harry Yserentant
Publication
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 Radial-Angular 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
10.1007/978-3-642-12248-4
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-642-12247-7
Specific material designation
remote
System control number
(OCoLC)663094130

Library Locations

    • Ellis LibraryBorrow it
      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
Processing Feedback ...