Mathematical aspects of quantization : Center for Mathematics at Notre Dame : summer school and Conference on Mathematical Aspects of Quantization, May 31-June 10, 2011, Notre Dame University, Notre Dame, Indiana / / Sam Evens [and four others], editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2012] |
Descrizione fisica | 1 online resource (320 pages) : illustrations |
Disciplina | 516.3/6 |
Collana | Contemporary mathematics |
Soggetto topico | Geometric quantization |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910809598103321 |
Providence, Rhode Island : , : American Mathematical Society, , [2012] | ||
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Lo trovi qui: Univ. Federico II | ||
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Mathematics of quantization and quantum fields / / Jan Dereziński, University of Warsaw, Poland, Christian Gérard, Universite de Paris-Sud, France [[electronic resource]] |
Autore | Dereziński Jan <1957-> |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xii, 674 pages) : digital, PDF file(s) |
Disciplina | 530.1201/51 |
Collana | Cambridge monographs on mathematical physics |
Soggetto topico |
Geometric quantization
Quantum theory - Mathematics |
ISBN |
1-107-33563-9
1-107-33242-7 1-107-32670-2 1-107-33314-8 1-107-33646-5 1-107-33480-2 0-511-89454-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- 1. Vector spaces -- 2. Operators in Hilbert spaces -- 3. Tensor algebras -- 4. Analysis in L2(Rd) -- 5. Measures -- 6. Algebras -- 7. Anti-symmetric calculus -- 8. Canonical commutation relations -- 9. CCR on Fock spaces -- 10. Symplectic invariance of CCR in finite dimensions -- 11. Symplectic invariance of the CCR on Fock spaces -- 12. Canonical anti-commutation relations -- 13. CAR on Fock spaces -- 14. Orthogonal invariance of CAR algebras -- 15. Clifford relations -- 16. Orthogonal invariance of the CAR on Fock spaces -- 17. Quasi-free states -- 18. Dynamics of quantum fields -- 19. Quantum fields on space-time -- 20. Diagrammatics -- 21. Euclidean approach for bosons -- 22. Interacting bosonic fields. |
Altri titoli varianti | Mathematics of Quantization & Quantum Fields |
Record Nr. | UNINA-9910463326103321 |
Dereziński Jan <1957->
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Cambridge : , : Cambridge University Press, , 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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The metaplectic representation, Mpc structures, and geometric quantization / / P.L. Robinson and J.H. Rawnsley |
Autore | Robinson P. L (Paul Lee), <1958-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
Descrizione fisica | 1 online resource (102 p.) |
Disciplina | 516.3/62 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
G-structures
Geometric quantization Lie groups Symplectic manifolds Representations of groups |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0833-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Introduction""; ""Â 1 Preliminary Topics""; ""Â 2 The Metaplectic Representation""; ""Â 3 Positive Polarizations""; ""Â 4 Isotropic Reduction""; ""Â 5 Derived Representations""; ""Â 6 Mp[sup(c)] Structures""; ""Â 7 Prequantization""; ""Â 8 Quantization""; ""Â 9 Complex Projective Spaces""; ""Â 10 Linear Symplectic Manifolds""; ""References"" |
Record Nr. | UNINA-9910480040503321 |
Robinson P. L (Paul Lee), <1958->
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Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
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Lo trovi qui: Univ. Federico II | ||
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The metaplectic representation, Mpc structures, and geometric quantization / / P.L. Robinson and J.H. Rawnsley |
Autore | Robinson P. L (Paul Lee), <1958-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
Descrizione fisica | 1 online resource (102 p.) |
Disciplina | 516.3/62 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
G-structures
Geometric quantization Lie groups Symplectic manifolds Representations of groups |
ISBN | 1-4704-0833-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Introduction""; ""Â 1 Preliminary Topics""; ""Â 2 The Metaplectic Representation""; ""Â 3 Positive Polarizations""; ""Â 4 Isotropic Reduction""; ""Â 5 Derived Representations""; ""Â 6 Mp[sup(c)] Structures""; ""Â 7 Prequantization""; ""Â 8 Quantization""; ""Â 9 Complex Projective Spaces""; ""Â 10 Linear Symplectic Manifolds""; ""References"" |
Record Nr. | UNINA-9910788871803321 |
Robinson P. L (Paul Lee), <1958->
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Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
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Lo trovi qui: Univ. Federico II | ||
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The metaplectic representation, Mpc structures, and geometric quantization / / P.L. Robinson and J.H. Rawnsley |
Autore | Robinson P. L (Paul Lee), <1958-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
Descrizione fisica | 1 online resource (102 p.) |
Disciplina | 516.3/62 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
G-structures
Geometric quantization Lie groups Symplectic manifolds Representations of groups |
ISBN | 1-4704-0833-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Introduction""; ""Â 1 Preliminary Topics""; ""Â 2 The Metaplectic Representation""; ""Â 3 Positive Polarizations""; ""Â 4 Isotropic Reduction""; ""Â 5 Derived Representations""; ""Â 6 Mp[sup(c)] Structures""; ""Â 7 Prequantization""; ""Â 8 Quantization""; ""Â 9 Complex Projective Spaces""; ""Â 10 Linear Symplectic Manifolds""; ""References"" |
Record Nr. | UNINA-9910828758503321 |
Robinson P. L (Paul Lee), <1958->
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Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
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Lo trovi qui: Univ. Federico II | ||
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Poisson geometry in mathematics and physics : International Conference, June 5-9, 2006, Tokyo, Japan / / Giuseppe Dito [and three others], editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
Descrizione fisica | 1 online resource (330 p.) |
Disciplina | 512/.482 |
Collana | Contemporary mathematics |
Soggetto topico |
Poisson algebras
Poisson processes Geometric quantization |
Soggetto genere / forma | Electronic books. |
ISBN |
0-8218-8129-9
0-8218-4423-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""2. Volume forms on conjugacy classes""""3. Clifford algebras and spinors""; ""4. Linear Dirac geometry""; ""5. The Cartan-Dirac structure""; ""6. Dirac structures""; ""7. Group-valued moment maps""; ""References""; ""Lectures on PROPs, Poisson geometry and deformation quantization""; ""Deformation quantization modules on complex symplectic manifolds""; ""Non-commutative quasi-Hamiltonian spaces""; ""1. Introduction""; ""2. Preliminaries""; ""3. Generalities about bimodules""; ""4. Quasi-Poisson and quasi-Hamiltonian G-spaces""; ""5. Hamiltonian double quasi-Poisson algebras""
""6. Quasi-bisymplectic algebras""""7. Compatibility""; ""8. More general base rings and quivers""; ""References""; ""Locally noncommutative space-times"" |
Record Nr. | UNINA-9910478900703321 |
Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
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Lo trovi qui: Univ. Federico II | ||
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Poisson geometry in mathematics and physics : International Conference, June 5-9, 2006, Tokyo, Japan / / Giuseppe Dito [and three others], editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
Descrizione fisica | 1 online resource (330 p.) |
Disciplina | 512/.482 |
Collana | Contemporary mathematics |
Soggetto topico |
Poisson algebras
Poisson processes Geometric quantization |
ISBN |
0-8218-8129-9
0-8218-4423-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""2. Volume forms on conjugacy classes""""3. Clifford algebras and spinors""; ""4. Linear Dirac geometry""; ""5. The Cartan-Dirac structure""; ""6. Dirac structures""; ""7. Group-valued moment maps""; ""References""; ""Lectures on PROPs, Poisson geometry and deformation quantization""; ""Deformation quantization modules on complex symplectic manifolds""; ""Non-commutative quasi-Hamiltonian spaces""; ""1. Introduction""; ""2. Preliminaries""; ""3. Generalities about bimodules""; ""4. Quasi-Poisson and quasi-Hamiltonian G-spaces""; ""5. Hamiltonian double quasi-Poisson algebras""
""6. Quasi-bisymplectic algebras""""7. Compatibility""; ""8. More general base rings and quivers""; ""References""; ""Locally noncommutative space-times"" |
Record Nr. | UNINA-9910788794003321 |
Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
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Lo trovi qui: Univ. Federico II | ||
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Poisson geometry in mathematics and physics : International Conference, June 5-9, 2006, Tokyo, Japan / / Giuseppe Dito [and three others], editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
Descrizione fisica | 1 online resource (330 p.) |
Disciplina | 512/.482 |
Collana | Contemporary mathematics |
Soggetto topico |
Poisson algebras
Poisson processes Geometric quantization |
ISBN |
0-8218-8129-9
0-8218-4423-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""2. Volume forms on conjugacy classes""""3. Clifford algebras and spinors""; ""4. Linear Dirac geometry""; ""5. The Cartan-Dirac structure""; ""6. Dirac structures""; ""7. Group-valued moment maps""; ""References""; ""Lectures on PROPs, Poisson geometry and deformation quantization""; ""Deformation quantization modules on complex symplectic manifolds""; ""Non-commutative quasi-Hamiltonian spaces""; ""1. Introduction""; ""2. Preliminaries""; ""3. Generalities about bimodules""; ""4. Quasi-Poisson and quasi-Hamiltonian G-spaces""; ""5. Hamiltonian double quasi-Poisson algebras""
""6. Quasi-bisymplectic algebras""""7. Compatibility""; ""8. More general base rings and quivers""; ""References""; ""Locally noncommutative space-times"" |
Record Nr. | UNINA-9910815368103321 |
Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
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Lo trovi qui: Univ. Federico II | ||
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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
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London, : Imperial College Press | ||
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Lo trovi qui: Univ. Federico II | ||
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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
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London, : Imperial College Press | ||
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Lo trovi qui: Univ. Federico II | ||
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