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)

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
Creator
Contributor
Author
Author
Editor
Editor
Subject
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
  • QC793-793.5
  • QC174.45-174.52
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorDate
1927-2014
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)
Instantiates
Publication
Note
"Publications of Elliot H. Lieb"--P. 915-932
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 Large-Z 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 Semi-Classical Bounds for Eigenvalues of Schrödinger Operators -- The Number of Bound States of One-Body Schroedincer Operators and the Weyl Problem -- Variational Principle for Many-Fermion Systems -- Thomas-fermi and related theories of atoms and molecules -- The Hartree-Fock Theory for Coulomb Systems -- There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory -- Many-Body Atomic Potentials in Thomas-Fermi Theory -- The Positivity of the Pressure in Thomas Fermi Theory -- The Thomas-Fermi-von Weizsäcker Theory of Atoms and Molecules -- Analysis of the Thomas-Fermi-von Weizsäcker Equation for an Infinite Atom Without Electron Repulsion -- The most negative ion in the Thomas-Fermi-von 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 -- One-Electron Relativistic Molecules with Coulomb Interaction -- The Stability and Instability of Relativistic Matter -- Stability of Relativistic Matter via Thomas-Fermi 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 -- Self-Energy of Electrons in Non-Perturbative QED -- Ground states in non-relativistic quantum electrodynamics -- Existence of Atoms and Molecules in Non-Relativistic 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 Gross-Pitaevskii energy functional -- The N5/3 Law for Bosons -- The N7/5 Law for Charged Bosons -- Ground State Energy of the One-Component Charged Bose Gas -- Ground State Energy of the Two-Component Charged Bose Gas -- Proof of Bose-Einstein Condensation for Dilute Trapped Gases -- Superfluidity in dilute trapped Bose gases -- One-Dimensional Basons in Three-Dimensional 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
  • (DE-He213)978-3-540-27056-0
  • (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)
Publication
Note
"Publications of Elliot H. Lieb"--P. 915-932
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 Large-Z 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 Semi-Classical Bounds for Eigenvalues of Schrödinger Operators -- The Number of Bound States of One-Body Schroedincer Operators and the Weyl Problem -- Variational Principle for Many-Fermion Systems -- Thomas-fermi and related theories of atoms and molecules -- The Hartree-Fock Theory for Coulomb Systems -- There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory -- Many-Body Atomic Potentials in Thomas-Fermi Theory -- The Positivity of the Pressure in Thomas Fermi Theory -- The Thomas-Fermi-von Weizsäcker Theory of Atoms and Molecules -- Analysis of the Thomas-Fermi-von Weizsäcker Equation for an Infinite Atom Without Electron Repulsion -- The most negative ion in the Thomas-Fermi-von 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 -- One-Electron Relativistic Molecules with Coulomb Interaction -- The Stability and Instability of Relativistic Matter -- Stability of Relativistic Matter via Thomas-Fermi 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 -- Self-Energy of Electrons in Non-Perturbative QED -- Ground states in non-relativistic quantum electrodynamics -- Existence of Atoms and Molecules in Non-Relativistic 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 Gross-Pitaevskii energy functional -- The N5/3 Law for Bosons -- The N7/5 Law for Charged Bosons -- Ground State Energy of the One-Component Charged Bose Gas -- Ground State Energy of the Two-Component Charged Bose Gas -- Proof of Bose-Einstein Condensation for Dilute Trapped Gases -- Superfluidity in dilute trapped Bose gases -- One-Dimensional Basons in Three-Dimensional 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
  • (DE-He213)978-3-540-27056-0
  • (MiAaPQ)EBC259442
  • (EXLCZ)991000000000231319

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