Ebook: Quasiclassical Methods

The chapters in this volume explore the various aspects of quasiclassical methods such as approximate theories for large Coulomb systems, Schroedinger operator with magnetic wells, ground state energy of heavy molecules in strong magnetic field, and methods with emphasis on coherent states. Included are also mathematical theories dealing with h-pseudodifferential operators, asymptotic distribution of eigenvalues in gaps, a proof of the strong Scott conjecture, Lieb- Thirring inequalities for the Pauli operator, and local trace formulae.

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The chapters in this volume explore the various aspects of quasiclassical methods such as approximate theories for large Coulomb systems, Schroedinger operator with magnetic wells, ground state energy of heavy molecules in strong magnetic field, and methods with emphasis on coherent states. Included are also mathematical theories dealing with h-pseudodifferential operators, asymptotic distribution of eigenvalues in gaps, a proof of the strong Scott conjecture, Lieb- Thirring inequalities for the Pauli operator, and local trace formulae.

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The chapters in this volume explore the various aspects of quasiclassical methods such as approximate theories for large Coulomb systems, Schroedinger operator with magnetic wells, ground state energy of heavy molecules in strong magnetic field, and methods with emphasis on coherent states. Included are also mathematical theories dealing with h-pseudodifferential operators, asymptotic distribution of eigenvalues in gaps, a proof of the strong Scott conjecture, Lieb- Thirring inequalities for the Pauli operator, and local trace formulae.
Content:
Front Matter....Pages i-ix
h-Pseudodifferential Operators and Applications: An Introduction....Pages 1-49
Semi-Classical Methods with Emphasis on Coherent States....Pages 51-88
Approximative Theories for Large Coulomb Systems....Pages 89-97
Semiclassical Analysis for the Schr?dinger Operator with Magnetic Wells (After R. Montgomery, B. Helffer-A. Mohamed)....Pages 99-114
On the Asymptotic Distribution of Eigenvalues in Gaps....Pages 115-124
Asymptotics of the Ground State Energy of Heavy Molecules in the Strong Magnetic Field....Pages 125-138
Local Trace Formul?....Pages 139-144
A Proof of the Strong Scott Conjecture....Pages 145-154
Lieb-Thirring Inequalities for the Pauli Operator in Three Dimensions....Pages 155-188
Exact Anharmonic Quantization Condition (In One Dimension)....Pages 189-224
Back Matter....Pages 225-230

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The chapters in this volume explore the various aspects of quasiclassical methods such as approximate theories for large Coulomb systems, Schroedinger operator with magnetic wells, ground state energy of heavy molecules in strong magnetic field, and methods with emphasis on coherent states. Included are also mathematical theories dealing with h-pseudodifferential operators, asymptotic distribution of eigenvalues in gaps, a proof of the strong Scott conjecture, Lieb- Thirring inequalities for the Pauli operator, and local trace formulae.
Content:
Front Matter....Pages i-ix
h-Pseudodifferential Operators and Applications: An Introduction....Pages 1-49
Semi-Classical Methods with Emphasis on Coherent States....Pages 51-88
Approximative Theories for Large Coulomb Systems....Pages 89-97
Semiclassical Analysis for the Schr?dinger Operator with Magnetic Wells (After R. Montgomery, B. Helffer-A. Mohamed)....Pages 99-114
On the Asymptotic Distribution of Eigenvalues in Gaps....Pages 115-124
Asymptotics of the Ground State Energy of Heavy Molecules in the Strong Magnetic Field....Pages 125-138
Local Trace Formul?....Pages 139-144
A Proof of the Strong Scott Conjecture....Pages 145-154
Lieb-Thirring Inequalities for the Pauli Operator in Three Dimensions....Pages 155-188
Exact Anharmonic Quantization Condition (In One Dimension)....Pages 189-224
Back Matter....Pages 225-230
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