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The Resource The Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb, by Elliott H. Lieb ; edited by Walter Thirring, (electronic resource)
The Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb, by Elliott H. Lieb ; edited by Walter Thirring, (electronic resource)
Resource Information
The item The Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb, by Elliott H. Lieb ; edited by Walter Thirring, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item The Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb, by Elliott H. Lieb ; edited by Walter Thirring, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 This collection of papers  starting with a brilliant article by one of the masters of the field  gives an excellent current review of our knowledge of matter. Partially basing his own work on a variational formulation of quantum mechanics, E.H. Lieb links the difficult question of the stability of matter with important problems in functional analysis. Here the reader will find general results together with deep insights into quantum systems combined with papers on the structure of atoms and molecules, the thermodynamic limit, and stellar structures. The book is suitable as an accompanying text or recommended reading for a graduate course in quantum mechanics. In the third edition, two new sections were added: one contains papers on quantum electrodynamics, and the other on Boson systems. In this fourth edition, these topics have been further developed, extending the book by approximately 120 pages
 Language

 eng
 eng
 Edition
 Fourth Edition.
 Extent
 1 online resource (912 p.)
 Note
 "Publications of Elliot H. Lieb"P. 915932
 Contents

 The Stability of Matter: From Atoms to Stars
 Lower bound to the energy of complex atoms
 Improved Lower Bound on the Indirect Coulomb Energy
 Letter to the Editor
 Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle
 Atomic and Molecular Negative Ions
 Bound on the maximum negative ionization of atoms and molecules
 Approximate Neutrality of LargeZ Ions
 Universal nature of van der Waals forces for Coulomb Systems
 Electron density near the nucleus of a large atom
 Proof of a conjecture about atomic and molecular cores related to Scott’s correction
 Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields
 Ground states of large quantum dots in magnetic fields
 Kinetic Energy Bounds and Their Application to the Stability of Matter
 Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities
 On SemiClassical Bounds for Eigenvalues of Schrödinger Operators
 The Number of Bound States of OneBody Schroedincer Operators and the Weyl Problem
 Variational Principle for ManyFermion Systems
 Thomasfermi and related theories of atoms and molecules
 The HartreeFock Theory for Coulomb Systems
 There Are No Unfilled Shells in Unrestricted HartreeFock Theory
 ManyBody Atomic Potentials in ThomasFermi Theory
 The Positivity of the Pressure in Thomas Fermi Theory
 The ThomasFermivon Weizsäcker Theory of Atoms and Molecules
 Analysis of the ThomasFermivon Weizsäcker Equation for an Infinite Atom Without Electron Repulsion
 The most negative ion in the ThomasFermivon Weizsäcker theory of atoms and molecules
 Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter
 Stability of Coulomb Systems with Magnetic Fields
 Stability of Coulomb Systems with Magnetic Fields
 Stability of Matter in Magnetic Fields
 The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics
 OneElectron Relativistic Molecules with Coulomb Interaction
 The Stability and Instability of Relativistic Matter
 Stability of Relativistic Matter via ThomasFermi Theory
 Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields
 The stability of matter
 Existence of Thermodynamics for Real Matter with Coulomb Forces
 The Thermodynamic Limit for Jellium
 SelfEnergy of Electrons in NonPerturbative QED
 Ground states in nonrelativistic quantum electrodynamics
 Existence of Atoms and Molecules in NonRelativistic Quantum Electrodynamics
 A Bound on Binding Energies and Mass Renormalization in Models of Quantum Electrodynamics
 Stability of a Model of Relativistic Quantum Electrodynamics
 Bosonic Systems
 Ground State Energy of the Low Density Bose Gas
 Bosons in a trap: A rigorous derivation of the GrossPitaevskii energy functional
 The N5/3 Law for Bosons
 The N7/5 Law for Charged Bosons
 Ground State Energy of the OneComponent Charged Bose Gas
 Ground State Energy of the TwoComponent Charged Bose Gas
 Proof of BoseEinstein Condensation for Dilute Trapped Gases
 Superfluidity in dilute trapped Bose gases
 OneDimensional Basons in ThreeDimensional Traps
 Isbn
 9781280460999
 Label
 The Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb
 Title
 The Stability of Matter: From Atoms to Stars
 Title remainder
 Selecta of Elliott H. Lieb
 Statement of responsibility
 by Elliott H. Lieb ; edited by Walter Thirring
 Language

 eng
 eng
 Summary
 This collection of papers  starting with a brilliant article by one of the masters of the field  gives an excellent current review of our knowledge of matter. Partially basing his own work on a variational formulation of quantum mechanics, E.H. Lieb links the difficult question of the stability of matter with important problems in functional analysis. Here the reader will find general results together with deep insights into quantum systems combined with papers on the structure of atoms and molecules, the thermodynamic limit, and stellar structures. The book is suitable as an accompanying text or recommended reading for a graduate course in quantum mechanics. In the third edition, two new sections were added: one contains papers on quantum electrodynamics, and the other on Boson systems. In this fourth edition, these topics have been further developed, extending the book by approximately 120 pages
 http://library.link/vocab/creatorName
 Lieb, Elliott H
 Dewey number
 539.1
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 Xc7AWfr77u8
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
 Odvc8PT4D_E
 Language note
 English
 LC call number

 QC793793.5
 QC174.45174.52
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorDate
 19272014
 http://library.link/vocab/relatedWorkOrContributorName
 Thirring, Walter
 http://library.link/vocab/subjectName

 Quantum theory
 Mathematical physics
 Global analysis (Mathematics)
 Mathematical optimization
 Elementary Particles, Quantum Field Theory
 Mathematical Methods in Physics
 Condensed Matter Physics
 Quantum Physics
 Analysis
 Calculus of Variations and Optimal Control; Optimization
 Label
 The Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb, by Elliott H. Lieb ; edited by Walter Thirring, (electronic resource)
 Note
 "Publications of Elliot H. Lieb"P. 915932
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 The Stability of Matter: From Atoms to Stars  Lower bound to the energy of complex atoms  Improved Lower Bound on the Indirect Coulomb Energy  Letter to the Editor  Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle  Atomic and Molecular Negative Ions  Bound on the maximum negative ionization of atoms and molecules  Approximate Neutrality of LargeZ Ions  Universal nature of van der Waals forces for Coulomb Systems  Electron density near the nucleus of a large atom  Proof of a conjecture about atomic and molecular cores related to Scott’s correction  Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields  Ground states of large quantum dots in magnetic fields  Kinetic Energy Bounds and Their Application to the Stability of Matter  Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities  On SemiClassical Bounds for Eigenvalues of Schrödinger Operators  The Number of Bound States of OneBody Schroedincer Operators and the Weyl Problem  Variational Principle for ManyFermion Systems  Thomasfermi and related theories of atoms and molecules  The HartreeFock Theory for Coulomb Systems  There Are No Unfilled Shells in Unrestricted HartreeFock Theory  ManyBody Atomic Potentials in ThomasFermi Theory  The Positivity of the Pressure in Thomas Fermi Theory  The ThomasFermivon Weizsäcker Theory of Atoms and Molecules  Analysis of the ThomasFermivon Weizsäcker Equation for an Infinite Atom Without Electron Repulsion  The most negative ion in the ThomasFermivon Weizsäcker theory of atoms and molecules  Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter  Stability of Coulomb Systems with Magnetic Fields  Stability of Coulomb Systems with Magnetic Fields  Stability of Matter in Magnetic Fields  The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics  OneElectron Relativistic Molecules with Coulomb Interaction  The Stability and Instability of Relativistic Matter  Stability of Relativistic Matter via ThomasFermi Theory  Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields  The stability of matter  Existence of Thermodynamics for Real Matter with Coulomb Forces  The Thermodynamic Limit for Jellium  SelfEnergy of Electrons in NonPerturbative QED  Ground states in nonrelativistic quantum electrodynamics  Existence of Atoms and Molecules in NonRelativistic Quantum Electrodynamics  A Bound on Binding Energies and Mass Renormalization in Models of Quantum Electrodynamics  Stability of a Model of Relativistic Quantum Electrodynamics  Bosonic Systems  Ground State Energy of the Low Density Bose Gas  Bosons in a trap: A rigorous derivation of the GrossPitaevskii energy functional  The N5/3 Law for Bosons  The N7/5 Law for Charged Bosons  Ground State Energy of the OneComponent Charged Bose Gas  Ground State Energy of the TwoComponent Charged Bose Gas  Proof of BoseEinstein Condensation for Dilute Trapped Gases  Superfluidity in dilute trapped Bose gases  OneDimensional Basons in ThreeDimensional Traps
 Dimensions
 unknown
 Edition
 Fourth Edition.
 Extent
 1 online resource (912 p.)
 Form of item
 online
 Isbn
 9781280460999
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/b138553
 Specific material designation
 remote
 System control number

 (CKB)1000000000231319
 (EBL)259442
 (OCoLC)828802422
 (SSID)ssj0000250361
 (PQKBManifestationID)11204036
 (PQKBTitleCode)TC0000250361
 (PQKBWorkID)10232139
 (PQKB)10228837
 (DEHe213)9783540270560
 (MiAaPQ)EBC259442
 (EXLCZ)991000000000231319
 Label
 The Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb, by Elliott H. Lieb ; edited by Walter Thirring, (electronic resource)
 Note
 "Publications of Elliot H. Lieb"P. 915932
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 The Stability of Matter: From Atoms to Stars  Lower bound to the energy of complex atoms  Improved Lower Bound on the Indirect Coulomb Energy  Letter to the Editor  Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle  Atomic and Molecular Negative Ions  Bound on the maximum negative ionization of atoms and molecules  Approximate Neutrality of LargeZ Ions  Universal nature of van der Waals forces for Coulomb Systems  Electron density near the nucleus of a large atom  Proof of a conjecture about atomic and molecular cores related to Scott’s correction  Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields  Ground states of large quantum dots in magnetic fields  Kinetic Energy Bounds and Their Application to the Stability of Matter  Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities  On SemiClassical Bounds for Eigenvalues of Schrödinger Operators  The Number of Bound States of OneBody Schroedincer Operators and the Weyl Problem  Variational Principle for ManyFermion Systems  Thomasfermi and related theories of atoms and molecules  The HartreeFock Theory for Coulomb Systems  There Are No Unfilled Shells in Unrestricted HartreeFock Theory  ManyBody Atomic Potentials in ThomasFermi Theory  The Positivity of the Pressure in Thomas Fermi Theory  The ThomasFermivon Weizsäcker Theory of Atoms and Molecules  Analysis of the ThomasFermivon Weizsäcker Equation for an Infinite Atom Without Electron Repulsion  The most negative ion in the ThomasFermivon Weizsäcker theory of atoms and molecules  Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter  Stability of Coulomb Systems with Magnetic Fields  Stability of Coulomb Systems with Magnetic Fields  Stability of Matter in Magnetic Fields  The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics  OneElectron Relativistic Molecules with Coulomb Interaction  The Stability and Instability of Relativistic Matter  Stability of Relativistic Matter via ThomasFermi Theory  Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields  The stability of matter  Existence of Thermodynamics for Real Matter with Coulomb Forces  The Thermodynamic Limit for Jellium  SelfEnergy of Electrons in NonPerturbative QED  Ground states in nonrelativistic quantum electrodynamics  Existence of Atoms and Molecules in NonRelativistic Quantum Electrodynamics  A Bound on Binding Energies and Mass Renormalization in Models of Quantum Electrodynamics  Stability of a Model of Relativistic Quantum Electrodynamics  Bosonic Systems  Ground State Energy of the Low Density Bose Gas  Bosons in a trap: A rigorous derivation of the GrossPitaevskii energy functional  The N5/3 Law for Bosons  The N7/5 Law for Charged Bosons  Ground State Energy of the OneComponent Charged Bose Gas  Ground State Energy of the TwoComponent Charged Bose Gas  Proof of BoseEinstein Condensation for Dilute Trapped Gases  Superfluidity in dilute trapped Bose gases  OneDimensional Basons in ThreeDimensional Traps
 Dimensions
 unknown
 Edition
 Fourth Edition.
 Extent
 1 online resource (912 p.)
 Form of item
 online
 Isbn
 9781280460999
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/b138553
 Specific material designation
 remote
 System control number

 (CKB)1000000000231319
 (EBL)259442
 (OCoLC)828802422
 (SSID)ssj0000250361
 (PQKBManifestationID)11204036
 (PQKBTitleCode)TC0000250361
 (PQKBWorkID)10232139
 (PQKB)10228837
 (DEHe213)9783540270560
 (MiAaPQ)EBC259442
 (EXLCZ)991000000000231319
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