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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, 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
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| London, : Imperial College Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The principles of Newtonian and quantum mechanics : the need for Planck's constant, h / M A de Gosson
| The principles of Newtonian and quantum mechanics : the need for Planck's constant, h / M A de Gosson |
| Autore | Gosson, Maurice de |
| Pubbl/distr/stampa | London : Imperial College Press |
| Descrizione fisica | xxii, 357 p. ; 22 cm |
| Disciplina | 530.15564 |
| Soggetto topico |
Lagrangian functions
Maslov index Geometric quantization |
| ISBN | 1860942741 |
| Classificazione |
AMS 81-02
LC QC20.7.C3G67 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002546739707536 |
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Gosson, Maurice de
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| London : Imperial College Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Quantization, Poisson brackets and beyond : London Mathematical Society Regional Meeting and Workshop on Quantization, Deformations, and New Homological and Categorical Methods in Mathematical Physics, July 6-13, 2001, University of Manchester Institute of Science and Technology, Manchester, United Kingdom / / Theodore Voronov, editor
| Quantization, Poisson brackets and beyond : London Mathematical Society Regional Meeting and Workshop on Quantization, Deformations, and New Homological and Categorical Methods in Mathematical Physics, July 6-13, 2001, University of Manchester Institute of Science and Technology, Manchester, United Kingdom / / Theodore Voronov, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (290 p.) |
| Disciplina | 530.15 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometric quantization
Poisson brackets Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7905-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Deformation quantization: Pro and contra""; ""Quantization as a functor""; ""Star exponential functions for quadratic forms and polar elements""; ""On traces for differential star products on symplectic manifolds""; ""Quantum G-manifolds""; ""Uq(sl(n))-covariant quantization of symmetric coadjoint orbits via reflection equation algebra""; ""Toward a classification of Poisson structures on surfaces""; ""Lectures on operads""; ""Graded manifolds and Drinfeld doubles for Lie bialgebroids""
""On the structure of graded symplectic supermanifolds and Courant algebroids""""On certain canonical diffeomorphisms in symplectic and Poisson geometry""; ""Laplacians in odd symplectic geometry""; ""Differential operators and actions of Lie algebroids""; ""Poisson actions and Lie bialgebroid morphisms""; ""Identities and derivations for Jacobian algebras"" |
| Record Nr. | UNINA-9910480168403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantization, Poisson brackets and beyond : London Mathematical Society Regional Meeting and Workshop on Quantization, Deformations, and New Homological and Categorical Methods in Mathematical Physics, July 6-13, 2001, University of Manchester Institute of Science and Technology, Manchester, United Kingdom / / Theodore Voronov, editor
| Quantization, Poisson brackets and beyond : London Mathematical Society Regional Meeting and Workshop on Quantization, Deformations, and New Homological and Categorical Methods in Mathematical Physics, July 6-13, 2001, University of Manchester Institute of Science and Technology, Manchester, United Kingdom / / Theodore Voronov, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (290 p.) |
| Disciplina | 530.15 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometric quantization
Poisson brackets Mathematical physics |
| ISBN | 0-8218-7905-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Deformation quantization: Pro and contra -- Quantization as a functor -- Star exponential functions for quadratic forms and polar elements -- On traces for differential star products on symplectic manifolds -- Quantum G-manifolds -- Uq(sl(n))-covariant quantization of symmetric coadjoint orbits via reflection equation algebra -- Toward a classification of Poisson structures on surfaces -- Lectures on operads -- Graded manifolds and Drinfeld doubles for Lie bialgebroids -- On the structure of graded symplectic supermanifolds and Courant algebroids -- On certain canonical diffeomorphisms in symplectic and Poisson geometry -- Laplacians in odd symplectic geometry -- Differential operators and actions of Lie algebroids -- Poisson actions and Lie bialgebroid morphisms -- Identities and derivations for Jacobian algebras. |
| Record Nr. | UNINA-9910788663903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantization, Poisson brackets and beyond : London Mathematical Society Regional Meeting and Workshop on Quantization, Deformations, and New Homological and Categorical Methods in Mathematical Physics, July 6-13, 2001, University of Manchester Institute of Science and Technology, Manchester, United Kingdom / / Theodore Voronov, editor
| Quantization, Poisson brackets and beyond : London Mathematical Society Regional Meeting and Workshop on Quantization, Deformations, and New Homological and Categorical Methods in Mathematical Physics, July 6-13, 2001, University of Manchester Institute of Science and Technology, Manchester, United Kingdom / / Theodore Voronov, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (290 p.) |
| Disciplina | 530.15 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Geometric quantization
Poisson brackets Mathematical physics |
| ISBN | 0-8218-7905-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Deformation quantization: Pro and contra -- Quantization as a functor -- Star exponential functions for quadratic forms and polar elements -- On traces for differential star products on symplectic manifolds -- Quantum G-manifolds -- Uq(sl(n))-covariant quantization of symmetric coadjoint orbits via reflection equation algebra -- Toward a classification of Poisson structures on surfaces -- Lectures on operads -- Graded manifolds and Drinfeld doubles for Lie bialgebroids -- On the structure of graded symplectic supermanifolds and Courant algebroids -- On certain canonical diffeomorphisms in symplectic and Poisson geometry -- Laplacians in odd symplectic geometry -- Differential operators and actions of Lie algebroids -- Poisson actions and Lie bialgebroid morphisms -- Identities and derivations for Jacobian algebras. |
| Record Nr. | UNINA-9910811527103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum groups : proceedings of a conference in memory of Joseph Donin, July 5-12, 2004, Technion-Israel, Institute of Technology, Haifa, Israel / / Pavel Etingof, Shlomo Gelaki, Steven Shnider, editors
| Quantum groups : proceedings of a conference in memory of Joseph Donin, July 5-12, 2004, Technion-Israel, Institute of Technology, Haifa, Israel / / Pavel Etingof, Shlomo Gelaki, Steven Shnider, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 530.14/3 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Quantum groups
Geometric quantization Group theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8112-4
0-8218-3713-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Preface""; ""Conference program""; ""List of participants""; ""Joseph Donin's mathematical research, 1966�2003""; ""Geometric and unipotent crystals II: From unipotent bicrystals to crystal bases""; ""The small quantum group and the Springer resolution""; ""Relation between two geometrically defined bases in representations of G Ln""; ""Fourier transforms for Hopf algebras""; ""Quantization of some Poisson-Lie dynamical r-matrices and Poisson homogeneous spaces""; ""Basic representations of quantum current algebras in higher genus"" |
| Record Nr. | UNINA-9910480990003321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum groups : proceedings of a conference in memory of Joseph Donin, July 5-12, 2004, Technion-Israel, Institute of Technology, Haifa, Israel / / Pavel Etingof, Shlomo Gelaki, Steven Shnider, editors
| Quantum groups : proceedings of a conference in memory of Joseph Donin, July 5-12, 2004, Technion-Israel, Institute of Technology, Haifa, Israel / / Pavel Etingof, Shlomo Gelaki, Steven Shnider, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 530.14/3 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Quantum groups
Geometric quantization Group theory |
| ISBN |
0-8218-8112-4
0-8218-3713-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Preface""; ""Conference program""; ""List of participants""; ""Joseph Donin's mathematical research, 1966�2003""; ""Geometric and unipotent crystals II: From unipotent bicrystals to crystal bases""; ""The small quantum group and the Springer resolution""; ""Relation between two geometrically defined bases in representations of G Ln""; ""Fourier transforms for Hopf algebras""; ""Quantization of some Poisson-Lie dynamical r-matrices and Poisson homogeneous spaces""; ""Basic representations of quantum current algebras in higher genus"" |
| Record Nr. | UNINA-9910788791303321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum groups : proceedings of a conference in memory of Joseph Donin, July 5-12, 2004, Technion-Israel, Institute of Technology, Haifa, Israel / / Pavel Etingof, Shlomo Gelaki, Steven Shnider, editors
| Quantum groups : proceedings of a conference in memory of Joseph Donin, July 5-12, 2004, Technion-Israel, Institute of Technology, Haifa, Israel / / Pavel Etingof, Shlomo Gelaki, Steven Shnider, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 530.14/3 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Quantum groups
Geometric quantization Group theory |
| ISBN |
0-8218-8112-4
0-8218-3713-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Preface""; ""Conference program""; ""List of participants""; ""Joseph Donin's mathematical research, 1966�2003""; ""Geometric and unipotent crystals II: From unipotent bicrystals to crystal bases""; ""The small quantum group and the Springer resolution""; ""Relation between two geometrically defined bases in representations of G Ln""; ""Fourier transforms for Hopf algebras""; ""Quantization of some Poisson-Lie dynamical r-matrices and Poisson homogeneous spaces""; ""Basic representations of quantum current algebras in higher genus"" |
| Record Nr. | UNINA-9910814062803321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum symmetries in theoretical physics and mathematics : proceedings of the Bariloche School, January 10-21, 2000, Bariloche, Patagonia, Argentina / / Robert Coquereaux, Ariel Garcia, Roberto Trinchero, editors
| Quantum symmetries in theoretical physics and mathematics : proceedings of the Bariloche School, January 10-21, 2000, Bariloche, Patagonia, Argentina / / Robert Coquereaux, Ariel Garcia, Roberto Trinchero, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (296 p.) |
| Disciplina | 530.14/3 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Symmetry (Physics)
Quantum groups Geometric quantization Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7884-0
0-8218-2655-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""5.1. General linear quantum groups""""5.2. Orthogonal and symplectic quantum groups""; ""References""; ""CFT, BCFT, ADE and all that"" |
| Record Nr. | UNINA-9910480253403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum symmetries in theoretical physics and mathematics : proceedings of the Bariloche School, January 10-21, 2000, Bariloche, Patagonia, Argentina / / Robert Coquereaux, Ariel Garcia, Roberto Trinchero, editors
| Quantum symmetries in theoretical physics and mathematics : proceedings of the Bariloche School, January 10-21, 2000, Bariloche, Patagonia, Argentina / / Robert Coquereaux, Ariel Garcia, Roberto Trinchero, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (296 p.) |
| Disciplina | 530.14/3 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Symmetry (Physics)
Quantum groups Geometric quantization Mathematical physics |
| ISBN |
0-8218-7884-0
0-8218-2655-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""5.1. General linear quantum groups""""5.2. Orthogonal and symplectic quantum groups""; ""References""; ""CFT, BCFT, ADE and all that"" |
| Record Nr. | UNINA-9910788657003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
