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The mathematical language of quantum theory : from uncertainty to entanglement / Teiko Heinosaari, Màrio Ziman
| The mathematical language of quantum theory : from uncertainty to entanglement / Teiko Heinosaari, Màrio Ziman |
| Autore | Heinosaari, Teiko |
| Pubbl/distr/stampa | Cambridge ; New York : Cambridge University Press, 2012 |
| Descrizione fisica | xii, 327 p. : ill. ; 26 cm |
| Disciplina | 530.12 |
| Altri autori (Persone) | Ziman, Màrioauthor |
| Soggetto topico | Quantum theory - Mathematics |
| ISBN | 9780521195836 (hbk.) |
| Classificazione |
LC QC174.17.M35
53.1.4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001793109707536 |
Heinosaari, Teiko
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| Cambridge ; New York : Cambridge University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Mathematical quantum physics : a foundational introduction / / Gabriele Nunzio Tornetta
| Mathematical quantum physics : a foundational introduction / / Gabriele Nunzio Tornetta |
| Autore | Tornetta Gabriele Nunzio |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (187 pages) |
| Disciplina | 016.61483 |
| Soggetto topico | Quantum theory - Mathematics |
| ISBN |
9783031148125
9783031148118 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- References -- Contents -- 1 The Basic Postulates -- 1.1 The Measuring Process -- 1.2 The Mathematical Framework of Quantum Mechanics -- 1.2.1 Projections -- 1.2.2 State Transitions -- 1.2.3 Interference -- 1.3 The Relation with Wave Mechanics -- 1.4 Symmetries -- 1.4.1 Dynamics -- 1.4.2 Regular Representations -- 1.4.3 Superselection Rules à la Wick-Wightman-Wigner -- References -- 2 Relativistic Invariance -- 2.1 The Lorentz Group -- 2.2 The Poincaré Group -- 2.3 Massive Particles -- 2.4 The Generalised Dirac Equation -- 2.4.1 Massless Particles -- 2.4.2 The Dirac Equation -- 2.4.3 Minimal Coupling -- References -- 3 Quantum Mechanics -- 3.1 The Weyl Relations -- 3.1.1 Irreducibility of the Schrödinger Representation -- 3.2 The Heisenberg Group -- 3.2.1 Uniqueness of the Schrödinger Representation -- 3.3 Quantum Harmonic Oscillator -- 3.4 Non-commutative Functional Calculus -- References -- 4 Quantum Field Theory -- 4.1 Infinite Degrees of Freedom -- 4.2 The Segal Field -- 4.3 Second Quantisation -- 4.3.1 Fock Space Revisited -- 4.3.2 Infinite Tensor Products -- 4.3.3 Gauge Invariance -- 4.4 Canonical Anticommutation Relations -- 4.4.1 The Fermi Oscillator -- 4.4.2 Representations of the CAR Algebra -- 4.4.3 Gauge-invariant States -- 4.5 Quantum Fields -- 4.5.1 The Scalar Field -- 4.5.2 Covariance -- 4.5.3 The Spectral Condition -- 4.5.4 Irreducibility -- 4.5.5 Complexification -- 4.6 Field Algebras -- 4.6.1 Isotony -- 4.6.2 Locality -- 4.6.3 Canonical Commutation Relations -- 4.6.4 Additivity -- 4.6.5 Duality -- 4.6.6 Property B -- 4.7 Modular Structure -- 4.7.1 The KMS Condition -- 4.7.2 Araki Duality for Wedges -- 4.8 The Charged Scalar Free Field -- 4.8.1 Superselection Sectors -- 4.9 The Charged Free Spinor Field -- 4.9.1 The Generic j2 Spin Case -- 4.10 The Wightman Axioms -- 4.10.1 Wightman Fields.
4.10.2 Vacuum Expectation Values -- 4.10.3 The Reconstruction Theorem -- 4.10.4 The Borchers-Uhlmann Algebra -- 4.10.5 Further Properties of Wightman Fields -- 4.10.6 Constructive Quantum Field Theory -- References -- 5 Further Topics -- 5.1 Scattering Theory -- 5.2 The DHR Theory -- 5.2.1 Superselection Sectors -- 5.2.2 Statistics -- 5.3 The DFR Models for Quantum Space-time -- 5.3.1 The C*-algebra of the Basic Model -- 5.3.2 Field Algebras on the DFR Quantum Space-time -- 5.3.3 The Scale-covariant Model -- References -- Appendix A Elements of Group Theory -- A.1 Topological Groups -- A.2 Group Cohomology -- A.2.1 Lifting of Projective Representations -- A.3 Representation Theory -- A.3.1 Induced Representations -- A.3.2 The Little Group Method -- A.3.3 The GNS Construction -- Appendix B Infinite Tensor Products -- B.1 For C*-algebras -- B.2 For Hilbert Spaces -- B.3 For Von Neumann Algebras -- B.4 Equivalences -- References -- Index. |
| Record Nr. | UNISA-996495163103316 |
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Tornetta Gabriele Nunzio
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Mathematical quantum physics : a foundational introduction / / Gabriele Nunzio Tornetta
| Mathematical quantum physics : a foundational introduction / / Gabriele Nunzio Tornetta |
| Autore | Tornetta Gabriele Nunzio |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (187 pages) |
| Disciplina | 016.61483 |
| Soggetto topico | Quantum theory - Mathematics |
| ISBN |
9783031148125
9783031148118 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- References -- Contents -- 1 The Basic Postulates -- 1.1 The Measuring Process -- 1.2 The Mathematical Framework of Quantum Mechanics -- 1.2.1 Projections -- 1.2.2 State Transitions -- 1.2.3 Interference -- 1.3 The Relation with Wave Mechanics -- 1.4 Symmetries -- 1.4.1 Dynamics -- 1.4.2 Regular Representations -- 1.4.3 Superselection Rules à la Wick-Wightman-Wigner -- References -- 2 Relativistic Invariance -- 2.1 The Lorentz Group -- 2.2 The Poincaré Group -- 2.3 Massive Particles -- 2.4 The Generalised Dirac Equation -- 2.4.1 Massless Particles -- 2.4.2 The Dirac Equation -- 2.4.3 Minimal Coupling -- References -- 3 Quantum Mechanics -- 3.1 The Weyl Relations -- 3.1.1 Irreducibility of the Schrödinger Representation -- 3.2 The Heisenberg Group -- 3.2.1 Uniqueness of the Schrödinger Representation -- 3.3 Quantum Harmonic Oscillator -- 3.4 Non-commutative Functional Calculus -- References -- 4 Quantum Field Theory -- 4.1 Infinite Degrees of Freedom -- 4.2 The Segal Field -- 4.3 Second Quantisation -- 4.3.1 Fock Space Revisited -- 4.3.2 Infinite Tensor Products -- 4.3.3 Gauge Invariance -- 4.4 Canonical Anticommutation Relations -- 4.4.1 The Fermi Oscillator -- 4.4.2 Representations of the CAR Algebra -- 4.4.3 Gauge-invariant States -- 4.5 Quantum Fields -- 4.5.1 The Scalar Field -- 4.5.2 Covariance -- 4.5.3 The Spectral Condition -- 4.5.4 Irreducibility -- 4.5.5 Complexification -- 4.6 Field Algebras -- 4.6.1 Isotony -- 4.6.2 Locality -- 4.6.3 Canonical Commutation Relations -- 4.6.4 Additivity -- 4.6.5 Duality -- 4.6.6 Property B -- 4.7 Modular Structure -- 4.7.1 The KMS Condition -- 4.7.2 Araki Duality for Wedges -- 4.8 The Charged Scalar Free Field -- 4.8.1 Superselection Sectors -- 4.9 The Charged Free Spinor Field -- 4.9.1 The Generic j2 Spin Case -- 4.10 The Wightman Axioms -- 4.10.1 Wightman Fields.
4.10.2 Vacuum Expectation Values -- 4.10.3 The Reconstruction Theorem -- 4.10.4 The Borchers-Uhlmann Algebra -- 4.10.5 Further Properties of Wightman Fields -- 4.10.6 Constructive Quantum Field Theory -- References -- 5 Further Topics -- 5.1 Scattering Theory -- 5.2 The DHR Theory -- 5.2.1 Superselection Sectors -- 5.2.2 Statistics -- 5.3 The DFR Models for Quantum Space-time -- 5.3.1 The C*-algebra of the Basic Model -- 5.3.2 Field Algebras on the DFR Quantum Space-time -- 5.3.3 The Scale-covariant Model -- References -- Appendix A Elements of Group Theory -- A.1 Topological Groups -- A.2 Group Cohomology -- A.2.1 Lifting of Projective Representations -- A.3 Representation Theory -- A.3.1 Induced Representations -- A.3.2 The Little Group Method -- A.3.3 The GNS Construction -- Appendix B Infinite Tensor Products -- B.1 For C*-algebras -- B.2 For Hilbert Spaces -- B.3 For Von Neumann Algebras -- B.4 Equivalences -- References -- Index. |
| Record Nr. | UNINA-9910619266603321 |
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Tornetta Gabriele Nunzio
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematical results in quantum physics [[electronic resource] ] : proceedings of the QMath11 Conference, Hradec Králové, Czech Republic, 6-10 September, 2010 / / edited by Pavel Exner
| Mathematical results in quantum physics [[electronic resource] ] : proceedings of the QMath11 Conference, Hradec Králové, Czech Republic, 6-10 September, 2010 / / edited by Pavel Exner |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, 2011 |
| Descrizione fisica | xi, 274 p. : ill. (some col.) |
| Disciplina | 530.12 |
| Altri autori (Persone) | ExnerPavel |
| Soggetto topico |
Quantum theory - Mathematics
Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-43381-8
9786613433817 981-4350-36-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. A. Plenary talks -- pt. B. Topical sessions. |
| Record Nr. | UNINA-9910464504703321 |
| Singapore ; ; Hackensack, N.J., : World Scientific, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematical results in quantum physics [[electronic resource] ] : proceedings of the QMath11 Conference, Hradec Králové, Czech Republic, 6-10 September, 2010 / / edited by Pavel Exner
| Mathematical results in quantum physics [[electronic resource] ] : proceedings of the QMath11 Conference, Hradec Králové, Czech Republic, 6-10 September, 2010 / / edited by Pavel Exner |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, 2011 |
| Descrizione fisica | xi, 274 p. : ill. (some col.) |
| Disciplina | 530.12 |
| Altri autori (Persone) | ExnerPavel |
| Soggetto topico |
Quantum theory - Mathematics
Mathematical physics |
| ISBN |
1-283-43381-8
9786613433817 981-4350-36-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. A. Plenary talks -- pt. B. Topical sessions. |
| Record Nr. | UNINA-9910789068803321 |
| Singapore ; ; Hackensack, N.J., : World Scientific, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical results in quantum physics [[electronic resource] ] : proceedings of the QMath11 Conference, Hradec Králové, Czech Republic, 6-10 September, 2010 / / edited by Pavel Exner
| Mathematical results in quantum physics [[electronic resource] ] : proceedings of the QMath11 Conference, Hradec Králové, Czech Republic, 6-10 September, 2010 / / edited by Pavel Exner |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, 2011 |
| Descrizione fisica | xi, 274 p. : ill. (some col.) |
| Disciplina | 530.12 |
| Altri autori (Persone) | ExnerPavel |
| Soggetto topico |
Quantum theory - Mathematics
Mathematical physics |
| ISBN |
1-283-43381-8
9786613433817 981-4350-36-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. A. Plenary talks -- pt. B. Topical sessions. |
| Record Nr. | UNINA-9910825753103321 |
| Singapore ; ; Hackensack, N.J., : World Scientific, 2011 | ||
| Materiale a stampa | ||
| 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]]
| 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 |
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Dereziński Jan <1957->
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| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Maverick mathematician : the life and science of J.E. Moyal / / Ann Moyal
| Maverick mathematician : the life and science of J.E. Moyal / / Ann Moyal |
| Autore | Moyal Ann <1926-> |
| Pubbl/distr/stampa | Canberra, ATC : , : ANU E Press, , 2006 |
| Descrizione fisica | 1 online resource (vi, 212 pages) : illustrations; digital, PDF file(s) |
| Disciplina | 510.92 |
| Soggetto topico |
Mathematicians - Australia
Aerospace engineers - Australia Quantum theory - Mathematics |
| ISBN | 1920942990 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Acknowledgements --Preface --chapter 1. Boyhood --chapter 2. The making of a scientific maverick --chapter 3. Battle with a legend --chapter 4. The widening circle --chapter 5. Antipodean winds --chapter 6. Argonne National Laboratory --chapter 7. Macquarie University --chapter 8. The reflective years --Appendix I. Publications of J. E. Moyal --Appendix II. P. A. M. Dirac - J. E. Moyal: correspondence, 1944-1946. Basser Library, Australian Academy of Science, Canberra MS 45/3/ --Appendix III. Quantum mechanics as a statistical theory by J. E. Moyal --Index. |
| Altri titoli varianti | Life and science of J.E. Moyal |
| Record Nr. | UNISA-996216868803316 |
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Moyal Ann <1926->
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| Canberra, ATC : , : ANU E Press, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Maverick mathematician : the life and science of J.E. Moyal / / Ann Moyal
| Maverick mathematician : the life and science of J.E. Moyal / / Ann Moyal |
| Autore | Moyal Ann <1926-> |
| Pubbl/distr/stampa | Canberra, ATC : , : ANU E Press, , 2006 |
| Descrizione fisica | 1 online resource (vi, 212 pages) : illustrations; digital, PDF file(s) |
| Disciplina | 510.92 |
| Soggetto topico |
Mathematicians - Australia
Aerospace engineers - Australia Quantum theory - Mathematics |
| ISBN | 1920942990 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Acknowledgements --Preface --chapter 1. Boyhood --chapter 2. The making of a scientific maverick --chapter 3. Battle with a legend --chapter 4. The widening circle --chapter 5. Antipodean winds --chapter 6. Argonne National Laboratory --chapter 7. Macquarie University --chapter 8. The reflective years --Appendix I. Publications of J. E. Moyal --Appendix II. P. A. M. Dirac - J. E. Moyal: correspondence, 1944-1946. Basser Library, Australian Academy of Science, Canberra MS 45/3/ --Appendix III. Quantum mechanics as a statistical theory by J. E. Moyal --Index. |
| Altri titoli varianti | Life and science of J.E. Moyal |
| Record Nr. | UNINA-9910634071503321 |
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Moyal Ann <1926->
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| Canberra, ATC : , : ANU E Press, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Maverick mathematician : the life and science of J.E. Moyal / / Ann Moyal
| Maverick mathematician : the life and science of J.E. Moyal / / Ann Moyal |
| Autore | Moyal Ann <1926-2019, > |
| Pubbl/distr/stampa | Canberra, ACT : , : ANU E Press, , [2006] |
| Descrizione fisica | 1 online resource (vi, 212 pages) : illustrations, maps, portraits; digital file(s) |
| Disciplina | 510.922 |
| Collana |
Open Access e-Books
Knowledge Unlatched |
| Soggetto topico |
Mathematicians - Australia
Aerospace engineers - Australia Quantum theory - Mathematics |
| ISBN | 1-920942-59-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. Boyhood -- Chapter 2. The making of a scientific maverick -- Chapter 3. Battle with a legend -- Chapter 4. The widening circle -- Chapter 5. Antipodean winds -- Chapter 6. Argonne National Laboratory -- Chapter 7. Macquarie University -- Chapter 8. The reflective years -- Appendix I. Publications of J. E. Moyal -- Appendix II. P. A. M. Dirac - J. E. Moyal: correspondence, 1944-1946. Basser Library, Australian Academy of Science, Canberra, MS 45/3/ -- Appendix III. Quantum mechanics as a statistical theory by J. E. Moyal. |
| Record Nr. | UNINA-9910140295503321 |
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Moyal Ann <1926-2019, >
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| Canberra, ACT : , : ANU E Press, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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