The Resource Regularity and Approximability of Electronic Wave Functions, by Harry Yserentant, (electronic resource)

Regularity and Approximability of Electronic Wave Functions, by Harry Yserentant, (electronic resource)

Label
Regularity and Approximability of Electronic Wave Functions
Title
Regularity and Approximability of Electronic Wave Functions
Statement of responsibility
by Harry Yserentant
Creator
Contributor
Author
Provider
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
http://library.link/vocab/creatorName
Yserentant, Harry
Image bit depth
0
LC call number
QA370-380
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
2000
http://library.link/vocab/subjectName
  • Mathematics
  • Differential equations, partial
  • Numerical analysis
  • Mathematics
  • Partial Differential Equations
  • Approximations and Expansions
  • Numerical Analysis
Label
Regularity and Approximability of Electronic Wave Functions, by Harry Yserentant, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Dimensions
unknown
Extent
VIII, 182p. 6 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783642122484
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-12248-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-12248-4
Label
Regularity and Approximability of Electronic Wave Functions, by Harry Yserentant, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Dimensions
unknown
Extent
VIII, 182p. 6 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783642122484
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-12248-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-12248-4

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