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1.

図書

図書
Walter Thirring ; translated by Evans M. Harrell
出版情報: New York : Springer, c1981  viii, 300 p. ; 25 cm
シリーズ名: A course in mathematical physics / Walter Thirring ; 3
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2.

図書

図書
Walter E. Thirring ; with foreword by Elliott H. Lieb
出版情報: Providence, R.I. : American Mathematical Society, c1998  xiii, 729 p. ; 26 cm
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3.

図書

図書
edited by W. Thirring ; with a preface by F. Dyson
出版情報: New York : Springer, c1997  xi, 675 p. ; 24 cm
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目次情報: 続きを見る
Introduction
Review / Part I:
The Stability of Matter: From Atoms to Stars / I.1:
Exact Results on Atoms / Part II:
Lower Bound to the Energy of Complex Atoms / P. Hertel ; W. ThirringII.1:
Improved Lower Bound on the Indirect Coulomb Energy / S. OxfordII.2:
Monotonicity of the Molecular Electronic Energy in the Nuclear Coordinates / II.3:
Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle / R. BenguriaII.4:
Atomic and Molecular Negative Ions / II.5:
Bound on the Maximum Negative Ionization of Atoms and Molecules / II.6:
Approximate Neutrality of Large-Z Ions / l.M. Sigal ; B.SimonIL.7:
Universal Nature of van der Waals Forces for Coulomb Systems / II.8:
Electron Density Near the Nucleus of a Large Atom / O.J. HeilmannII.9:
Proof of a Conjecture About Atomic and Molecular Cores Related to ScottÆs Correction / A. lantchenko ; H. SiedentopII.10:
Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields / J.P. Solovej ; J. YngvasonII.11:
Ground States of Large Quantum Dots in Magnetic Fields / II.12:
General Results with Applications to Atoms / Part III:
Kinetic Energy Bounds and Their Application to the Stability ofMatter / III.1:
Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relation to Sobolev Inequalities / III.2:
On Semi-Classical Bounds for Eigenvalues of Schrodinger Operators / M. AizenmanIII.3:
The Number of Bound States of One-Body Schrodinger Operators and the Weyl Problem / III.4:
Variational Principle for Many-Fermion Systems / III.5:
Thomas-Fermi and Related Theories / Part IV:
Thomas-Fermi and Related Theoies of Atoms and Molecules / IV.1:
The Hartree-Fock Theory for Coulomb Systems / B. SimonIV.2:
There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory / V. Bach ; M. LossIV.3:
Many-Body Atomic Potentials in Thomas-Fermi Theory / IV.4:
The Positivity of the Pressure in Thomas-Fermi Theory / IV.5:
The Thomas-Fermi-von Weizsacker Theory of Atoms and Molecules / H. BrezisIV.6:
Analysis of the Thomas-Fermi-von Weizsacker Equation for an Infinite Atom Without Electron Repulsion / IV.7:
The Most Negative Ion in the Thomas-Fermi-von Weizsacker Theory of Atoms and Molecules / IV.8:
Stability of Matter / Part V:
Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter / V.1:
Stability of Coulomb Systems with Magnetic Fields. I. The One-Electron Atom / J. FrohlichV.2:
Stability of Coulomb Systems with Magnetic Fields. II. The Many-Electron Atom and the One-Electron Molecule / V.3:
Stability of Matter in Magnetic Fields / V.4:
The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics / H.-T. YauV.5:
One-Electron Relativistic Molecules with Coulomb Interaction / I. DaubechiesV.6:
The Stability and Instability of Relativistic Matter / V.7:
Stability of Relativistic Matter Via Thomas-Fermi Theory / V.8:
Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields / V.9:
The Thermodynamic Limit for Real Matter with Coulomb Forces / Part VI:
The Stability of Matter / VI.1:
Existence of Thermodynamics for Real Matter with Coulomb Forces / J.L. LebowitzVI.2:
The Thermodynamic Limit for Jellium / H. NarnhoferVI.3:
Quantum Electrodynamics / Part VII:
Self Energy of Electrons in Non-perturbative QED / VII.1:
Renormalization of the Regularized Electron-Positron Field / VII.2:
Ground States in Non-relativistic Quantum Electrodynamics / M. GriesemerVII.3:
Bosonic Systems / Part VIII:
Ground State Energy of the Low Density Bose Gas / VIII.1:
Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional / R. SeiringerVIII.3:
The Bose Gas: A Subtle Many-Body Problem / VIII.4:
The N5/3 Law for Bosons / VIII.5:
The N7/5 Law for Charged Bosons / J.G. ConlonVIII.6:
Ground State Energy of the One-Component Charged Bose Gas / VIII.7:
Publications of Elliott / H.Lieb
Introduction
Review / Part I:
The Stability of Matter: From Atoms to Stars / I.1:
4.

図書

図書
Walter Thirring ; translated by Evans M. Harrell
出版情報: New York : Springer-Verlag, c1986  x, 261 p. ; 25 cm
シリーズ名: A course in mathematical physics / Walter Thirring ; 2
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5.

図書

図書
edited by W. Thirring ; with a preface by F. Dyson
出版情報: Berlin ; Tokyo : Springer-Verlag, c1991  viii, 565 p. ; 25 cm
所蔵情報: loading…
目次情報: 続きを見る
Introduction
Review / Part I:
The Stability of Matter: From Atoms to Stars / I.1:
Exact Results on Atoms / Part II:
Lower Bound to the Energy of Complex Atoms / P. Hertel ; W. ThirringII.1:
Improved Lower Bound on the Indirect Coulomb Energy / S. OxfordII.2:
Monotonicity of the Molecular Electronic Energy in the Nuclear Coordinates / II.3:
Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle / R. BenguriaII.4:
Atomic and Molecular Negative Ions / II.5:
Bound on the Maximum Negative Ionization of Atoms and Molecules / II.6:
Approximate Neutrality of Large-Z Ions / l.M. Sigal ; B.SimonIL.7:
Universal Nature of van der Waals Forces for Coulomb Systems / II.8:
Electron Density Near the Nucleus of a Large Atom / O.J. HeilmannII.9:
Proof of a Conjecture About Atomic and Molecular Cores Related to ScottÆs Correction / A. lantchenko ; H. SiedentopII.10:
Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields / J.P. Solovej ; J. YngvasonII.11:
Ground States of Large Quantum Dots in Magnetic Fields / II.12:
General Results with Applications to Atoms / Part III:
Kinetic Energy Bounds and Their Application to the Stability ofMatter / III.1:
Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relation to Sobolev Inequalities / III.2:
On Semi-Classical Bounds for Eigenvalues of Schrodinger Operators / M. AizenmanIII.3:
The Number of Bound States of One-Body Schrodinger Operators and the Weyl Problem / III.4:
Variational Principle for Many-Fermion Systems / III.5:
Thomas-Fermi and Related Theories / Part IV:
Thomas-Fermi and Related Theoies of Atoms and Molecules / IV.1:
The Hartree-Fock Theory for Coulomb Systems / B. SimonIV.2:
There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory / V. Bach ; M. LossIV.3:
Many-Body Atomic Potentials in Thomas-Fermi Theory / IV.4:
The Positivity of the Pressure in Thomas-Fermi Theory / IV.5:
The Thomas-Fermi-von Weizsacker Theory of Atoms and Molecules / H. BrezisIV.6:
Analysis of the Thomas-Fermi-von Weizsacker Equation for an Infinite Atom Without Electron Repulsion / IV.7:
The Most Negative Ion in the Thomas-Fermi-von Weizsacker Theory of Atoms and Molecules / IV.8:
Stability of Matter / Part V:
Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter / V.1:
Stability of Coulomb Systems with Magnetic Fields. I. The One-Electron Atom / J. FrohlichV.2:
Stability of Coulomb Systems with Magnetic Fields. II. The Many-Electron Atom and the One-Electron Molecule / V.3:
Stability of Matter in Magnetic Fields / V.4:
The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics / H.-T. YauV.5:
One-Electron Relativistic Molecules with Coulomb Interaction / I. DaubechiesV.6:
The Stability and Instability of Relativistic Matter / V.7:
Stability of Relativistic Matter Via Thomas-Fermi Theory / V.8:
Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields / V.9:
The Thermodynamic Limit for Real Matter with Coulomb Forces / Part VI:
The Stability of Matter / VI.1:
Existence of Thermodynamics for Real Matter with Coulomb Forces / J.L. LebowitzVI.2:
The Thermodynamic Limit for Jellium / H. NarnhoferVI.3:
Quantum Electrodynamics / Part VII:
Self Energy of Electrons in Non-perturbative QED / VII.1:
Renormalization of the Regularized Electron-Positron Field / VII.2:
Ground States in Non-relativistic Quantum Electrodynamics / M. GriesemerVII.3:
Bosonic Systems / Part VIII:
Ground State Energy of the Low Density Bose Gas / VIII.1:
Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional / R. SeiringerVIII.3:
The Bose Gas: A Subtle Many-Body Problem / VIII.4:
The N5/3 Law for Bosons / VIII.5:
The N7/5 Law for Charged Bosons / J.G. ConlonVIII.6:
Ground State Energy of the One-Component Charged Bose Gas / VIII.7:
Publications of Elliott / H.Lieb
Introduction
Review / Part I:
The Stability of Matter: From Atoms to Stars / I.1:
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