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The Maslov index in symplectic Banach spaces / / Bernhelm Booss-Bavnbek, Chaofeng Zhu
| The Maslov index in symplectic Banach spaces / / Bernhelm Booss-Bavnbek, Chaofeng Zhu |
| Autore | Booss Bernhelm <1941-> |
| Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2018] |
| Descrizione fisica | 1 online resource (134 pages) |
| Disciplina | 516.3/6 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Maslov, Índex de
Symplectic spaces Banach spaces |
| ISBN | 1-4704-4371-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910794922603321 |
Booss Bernhelm <1941->
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| Providence, RI : , : American Mathematical Society, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Maslov index in symplectic Banach spaces / / Bernhelm Booss-Bavnbek, Chaofeng Zhu
| The Maslov index in symplectic Banach spaces / / Bernhelm Booss-Bavnbek, Chaofeng Zhu |
| Autore | Booss Bernhelm <1941-> |
| Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2018] |
| Descrizione fisica | 1 online resource (134 pages) |
| Disciplina | 516.3/6 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Maslov, Índex de
Symplectic spaces Banach spaces |
| ISBN | 1-4704-4371-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910817111503321 |
|
Booss Bernhelm <1941->
|
||
| Providence, RI : , : American Mathematical Society, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Noncommutative Maslov index and Eta-forms / / Charlotte Wahl
| Noncommutative Maslov index and Eta-forms / / Charlotte Wahl |
| Autore | Wahl Charlotte <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Index theory (Mathematics)
Maslov, Índex de K-theory |
| ISBN | 1-4704-0491-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Summary""; ""Notation and conventions""; ""Chapter 1. Preliminaries""; ""1.1. The geometric situation""; ""1.2. The family index theorem""; ""1.3. The algebra of differential forms""; ""1.4. Lagrangian projections""; ""Chapter 2. The Fredholm Operator and Its Index""; ""2.1. The operator D on M""; ""2.2. The operator D[sub(1)] on [0,1]""; ""2.3. The operator D[sub(z)] on the cylinder""; ""2.4. The index of D[sub(+)]""; ""2.5. A perturbation with closed range""; ""Chapter 3. Heat Semigroups and Kernels""; ""3.1. Complex heat kernels""
""3.2. The heat semigroup on closed manifolds""""3.3. The heat semigroup on [0,1]""; ""3.4. The heat semigroup on the cylinder""; ""3.5. The heat semigroup on M""; ""Chapter 4. Superconnections and the Index Theorem""; ""4.1. The superconnection A[sup(I)][sub(1)] associated to D[sub(1)]""; ""4.2. The superconnection associated to D[sub(z)]""; ""4.3. The superconnection A(Ï?[sub(t)] associated to D[sub((Ï?))]""; ""4.4. The index theorem and its proof""; ""4.5. A gluing formula for η-forms on S[sup(1)]""; ""Chapter 5. Definitions and Techniques""; ""5.1. Hilbert C*â€? modules"" ""5.2. Operators on spaces of vector valued functions""""5.3. Projective systems and function spaces""; ""5.4. Holomorphic semigroups""; ""Bibliography"" |
| Record Nr. | UNINA-9910788745003321 |
|
Wahl Charlotte <1972->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Noncommutative Maslov index and Eta-forms / / Charlotte Wahl
| Noncommutative Maslov index and Eta-forms / / Charlotte Wahl |
| Autore | Wahl Charlotte <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina | 514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Index theory (Mathematics)
Maslov, Índex de K-theory |
| ISBN | 1-4704-0491-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Summary""; ""Notation and conventions""; ""Chapter 1. Preliminaries""; ""1.1. The geometric situation""; ""1.2. The family index theorem""; ""1.3. The algebra of differential forms""; ""1.4. Lagrangian projections""; ""Chapter 2. The Fredholm Operator and Its Index""; ""2.1. The operator D on M""; ""2.2. The operator D[sub(1)] on [0,1]""; ""2.3. The operator D[sub(z)] on the cylinder""; ""2.4. The index of D[sub(+)]""; ""2.5. A perturbation with closed range""; ""Chapter 3. Heat Semigroups and Kernels""; ""3.1. Complex heat kernels""
""3.2. The heat semigroup on closed manifolds""""3.3. The heat semigroup on [0,1]""; ""3.4. The heat semigroup on the cylinder""; ""3.5. The heat semigroup on M""; ""Chapter 4. Superconnections and the Index Theorem""; ""4.1. The superconnection A[sup(I)][sub(1)] associated to D[sub(1)]""; ""4.2. The superconnection associated to D[sub(z)]""; ""4.3. The superconnection A(Ï?[sub(t)] associated to D[sub((Ï?))]""; ""4.4. The index theorem and its proof""; ""4.5. A gluing formula for η-forms on S[sup(1)]""; ""Chapter 5. Definitions and Techniques""; ""5.1. Hilbert C*â€? modules"" ""5.2. Operators on spaces of vector valued functions""""5.3. Projective systems and function spaces""; ""5.4. Holomorphic semigroups""; ""Bibliography"" |
| Record Nr. | UNINA-9910828649903321 |
|
Wahl Charlotte <1972->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The principles of Newtonian and quantum mechanics [[electronic resource] ] : the need for Planck's constant, h / / M A de Gosson
| The principles of Newtonian and quantum mechanics [[electronic resource] ] : the need for Planck's constant, h / / M A de Gosson |
| Autore | Gosson Maurice de |
| Pubbl/distr/stampa | London, : Imperial College Press |
| Descrizione fisica | 1 online resource (382 p.) |
| Disciplina | 530.12 |
| Soggetto topico |
Lagrangian functions
Maslov, Índex de Geometric quantization |
| ISBN |
1-281-86598-2
9786611865986 1-84816-142-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS ; FOREWORD BY BASIL HILEY ; PREFACE ; 1 FROM KEPLER TO SCHRODINGER ... AND BEYOND ; 1.1 Classical Mechanics ; 1.2 Symplectic Mechanics ; 1.3 Action and Hamilton-Jacobi's Theory ; 1.4 Quantum Mechanics ; 1.5 The Statistical Interpretation of w
1.6 Quantum Mechanics in Phase Space 1.7 Feynman's ""Path Integral"" ; 1.8 Bohmian Mechanics ; 1.9 Interpretations ; 2 NEWTONIAN MECHANICS ; 2.1 Maxwell's Principle and the Lagrange Form ; 2.2 Hamilton's Equations ; 2.3 Galilean Covariance 2.4 Constants of the Motion and Integrable Systems 2.5 Liouville's Equation and Statistical Mechanics ; 3 THE SYMPLECTIC GROUP ; 3.1 Symplectic Matrices and Sp(n) ; 3.2 Symplectic Invariance of Hamiitonian Flows ; 3.3 The Properties of Sp(n) ; 3.4 Quadratic Hamiltonians 3.5 The Inhomogeneous Symplectic Group 3.6 An Illuminating Analogy ; 3.7 Gromov's Non-Squeezing Theorem ; 3.8 Symplectic Capacity and Periodic Orbits ; 3.9 Capacity and Periodic Orbits ; 3.10 Cell Quantization of Phase Space ; 4 ACTION AND PHASE ; 4.1 Introduction 4.2 The Fundamental Property of the Poincare-Cartan Form 4.3 Free Symplectomorphisms and Generating Functions ; 4.4 Generating Functions and Action ; 4.5 Short-Time Approximations to the Action ; 4.6 Lagrangian Manifolds ; 4.7 The Phase of a Lagrangian Manifold 4.8 Keller-Maslov Quantization |
| Record Nr. | UNINA-9910782125303321 |
|
Gosson Maurice de
|
||
| London, : Imperial College Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The principles of Newtonian and quantum mechanics [[electronic resource] ] : the need for Planck's constant, h / / M A de Gosson
| The principles of Newtonian and quantum mechanics [[electronic resource] ] : the need for Planck's constant, h / / M A de Gosson |
| Autore | Gosson Maurice de |
| Pubbl/distr/stampa | London, : Imperial College Press |
| Descrizione fisica | 1 online resource (382 p.) |
| Disciplina | 530.12 |
| Soggetto topico |
Lagrangian functions
Maslov, Índex de Geometric quantization |
| ISBN |
1-281-86598-2
9786611865986 1-84816-142-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS ; FOREWORD BY BASIL HILEY ; PREFACE ; 1 FROM KEPLER TO SCHRODINGER ... AND BEYOND ; 1.1 Classical Mechanics ; 1.2 Symplectic Mechanics ; 1.3 Action and Hamilton-Jacobi's Theory ; 1.4 Quantum Mechanics ; 1.5 The Statistical Interpretation of w
1.6 Quantum Mechanics in Phase Space 1.7 Feynman's ""Path Integral"" ; 1.8 Bohmian Mechanics ; 1.9 Interpretations ; 2 NEWTONIAN MECHANICS ; 2.1 Maxwell's Principle and the Lagrange Form ; 2.2 Hamilton's Equations ; 2.3 Galilean Covariance 2.4 Constants of the Motion and Integrable Systems 2.5 Liouville's Equation and Statistical Mechanics ; 3 THE SYMPLECTIC GROUP ; 3.1 Symplectic Matrices and Sp(n) ; 3.2 Symplectic Invariance of Hamiitonian Flows ; 3.3 The Properties of Sp(n) ; 3.4 Quadratic Hamiltonians 3.5 The Inhomogeneous Symplectic Group 3.6 An Illuminating Analogy ; 3.7 Gromov's Non-Squeezing Theorem ; 3.8 Symplectic Capacity and Periodic Orbits ; 3.9 Capacity and Periodic Orbits ; 3.10 Cell Quantization of Phase Space ; 4 ACTION AND PHASE ; 4.1 Introduction 4.2 The Fundamental Property of the Poincare-Cartan Form 4.3 Free Symplectomorphisms and Generating Functions ; 4.4 Generating Functions and Action ; 4.5 Short-Time Approximations to the Action ; 4.6 Lagrangian Manifolds ; 4.7 The Phase of a Lagrangian Manifold 4.8 Keller-Maslov Quantization |
| Record Nr. | UNINA-9910809897303321 |
|
Gosson Maurice de
|
||
| London, : Imperial College Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
