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 index Geometric quantization |
Soggetto genere / forma | Electronic books. |
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-9910454264803321 |
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 |
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 : the need for Planck's constant, h / / M A de Gosson |
Autore | Gosson Maurice de |
Edizione | [1st ed.] |
Pubbl/distr/stampa | London, : Imperial College Press |
Descrizione fisica | 1 online resource (382 p.) |
Disciplina | 530.12 |
Soggetto topico |
Lagrangian functions
Maslov index 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 | ||
|
Quantum harmonic analysis : an introduction / / Maurice A. de Gosson |
Autore | Gosson Maurice de |
Pubbl/distr/stampa | Boston, Massachusetts : , : De Gruyter, , [2021] |
Descrizione fisica | 1 online resource (xviii, 222 pages) |
Disciplina | 530.12 |
Collana | Advances in analysis and geometry |
Soggetto topico |
Quantum theory
Harmonic analysis |
ISBN |
3-11-072277-1
9783110722772 3110722771 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Introduction -- 1 Preliminaries -- 2 Displacements and reflections -- 3 The cross-Wigner transform -- 4 Gaussians and hermite functions -- 5 The Weyl transform -- 6 The Cohen class -- 7 Born–Jordan quantization -- 8 Metaplectic operators -- 9 The property of symplectic covariance -- 10 The Feichtinger algebra -- 11 Hilbert–Schmidt operators -- 12 The trace class -- 13 The quantum Bochner theorem -- 14 The density operator -- 15 The uncertainty principle -- 16 Separability and entanglement -- 17 Separability of Gaussian states -- Bibliography -- Index |
Record Nr. | UNINA-9910554219503321 |
Gosson Maurice de | ||
Boston, Massachusetts : , : De Gruyter, , [2021] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|