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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)
Resource Information
The item Regularity and Approximability of Electronic Wave Functions, by Harry Yserentant, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Regularity and Approximability of Electronic Wave Functions, by Harry Yserentant, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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
 VIII, 182p. 6 illus.
 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
 9783642122484
 Label
 Regularity and Approximability of Electronic Wave Functions
 Title
 Regularity and Approximability of Electronic Wave Functions
 Statement of responsibility
 by Harry Yserentant
 Subject

 Mathematics
 Approximations and Expansions
 Mathematics
 Numerical analysis
 Numerical analysis
 Numerical analysis
 Numerical Analysis
 Electronic resources
 Mathematics
 Numerical Analysis
 Partial Differential Equations
 Differential equations, partial
 Numerical Analysis
 Differential equations, partial
 Differential equations, partial
 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
 http://library.link/vocab/creatorName
 Yserentant, Harry
 Image bit depth
 0
 LC call number
 QA370380
 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)
 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 RadialAngular 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
 10.1007/9783642122484
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783642122484
 Label
 Regularity and Approximability of Electronic Wave Functions, by Harry Yserentant, (electronic resource)
 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 RadialAngular 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
 10.1007/9783642122484
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783642122484
Subject
 Approximations and Expansions
 Differential equations, partial
 Differential equations, partial
 Differential equations, partial
 Electronic resources
 Mathematics
 Mathematics
 Mathematics
 Numerical Analysis
 Numerical Analysis
 Numerical Analysis
 Numerical analysis
 Numerical analysis
 Numerical analysis
 Partial Differential Equations
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/RegularityandApproximabilityofElectronicWave/Ey1oA2hVeXA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/RegularityandApproximabilityofElectronicWave/Ey1oA2hVeXA/">Regularity and Approximability of Electronic Wave Functions, by Harry Yserentant, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>