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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 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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Quantum harmonic analysis : an introduction / / Maurice A. de Gosson
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
Opac: Controlla la disponibilità qui