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Cover: 9781402017148 | Quantum Measure Theory | J. Hamhalter | Buch | viii | Englisch | 2003
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Quantum Measure Theory
Buch von J. Hamhalter
Sprache: Englisch

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Beschreibung
This book has grown out of my research interests in the theory of oper­ ator algebras, orthomodular structures and mathematical foundations of quantum theory. It is based on a series of lectures on measure theory on nonboolean operator structures which I prepared for Ph. D. students in Workshops on Measure Theory and Real Analysis in Italy (Gorizia 1999, Grado 2001) and which I have delivered at the conferences of the Interna­ tional Quantum Structures Association in Berlin 1996, Cesena 2001, and Vienna 2002. I have worked on these subjects in the framework of Prague's Semi­ nar on Mathematical Formalism of Quantum Theory founded by P. Ptak. Many results presented in the book were also obtained during my longer research stays abroad, in particular at the Department of Mathematics, Reading University, U. K. (1993) and at the Mathematical Institute of Er­ langen University, Germany (1996-1997, 2000 and 2003). Both the research activity and the work on the book was supported by a few international projects I participated in. I would like to acknowledge the support of European Community that supported my research stay in Reading University (Grant COST, Noncommutative Measure Theory and von Neumann Algebras, 1993). I am also very much grateful to the Alexan­ der von Humboldt Foundation, Bonn, for long-term support of my research and for awarding me the grants that enabled me work at Erlangen Uni­ versity in 1996-1997, 2000 and 2003.
This book has grown out of my research interests in the theory of oper­ ator algebras, orthomodular structures and mathematical foundations of quantum theory. It is based on a series of lectures on measure theory on nonboolean operator structures which I prepared for Ph. D. students in Workshops on Measure Theory and Real Analysis in Italy (Gorizia 1999, Grado 2001) and which I have delivered at the conferences of the Interna­ tional Quantum Structures Association in Berlin 1996, Cesena 2001, and Vienna 2002. I have worked on these subjects in the framework of Prague's Semi­ nar on Mathematical Formalism of Quantum Theory founded by P. Ptak. Many results presented in the book were also obtained during my longer research stays abroad, in particular at the Department of Mathematics, Reading University, U. K. (1993) and at the Mathematical Institute of Er­ langen University, Germany (1996-1997, 2000 and 2003). Both the research activity and the work on the book was supported by a few international projects I participated in. I would like to acknowledge the support of European Community that supported my research stay in Reading University (Grant COST, Noncommutative Measure Theory and von Neumann Algebras, 1993). I am also very much grateful to the Alexan­ der von Humboldt Foundation, Bonn, for long-term support of my research and for awarding me the grants that enabled me work at Erlangen Uni­ versity in 1996-1997, 2000 and 2003.
Inhaltsverzeichnis
1 Introduction.- 2 Operator Algebras.- 3 Gleason Theorem.- 4 Completeness Criteria.- 5 Generalized Gleason Theorem.- 6 Basic Principles of Quantum Measure Theory.- 7 Applications of Gleason Theorem.- 8 Orthomorphisms of Projections.- 9 Restrictions and Extensions of States.- 10 Jauch-Piron States.- 11 Independence of Quantum Systems.
Details
Erscheinungsjahr: 2003
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Fundamental Theories of Physics
Inhalt: viii
410 S.
ISBN-13: 9781402017148
ISBN-10: 1402017146
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Hamhalter, J.
Hersteller: Springer Netherland
Springer Netherlands
Fundamental Theories of Physics
Maße: 241 x 160 x 29 mm
Von/Mit: J. Hamhalter
Erscheinungsdatum: 31.10.2003
Gewicht: 0,793 kg
Artikel-ID: 102104522
Inhaltsverzeichnis
1 Introduction.- 2 Operator Algebras.- 3 Gleason Theorem.- 4 Completeness Criteria.- 5 Generalized Gleason Theorem.- 6 Basic Principles of Quantum Measure Theory.- 7 Applications of Gleason Theorem.- 8 Orthomorphisms of Projections.- 9 Restrictions and Extensions of States.- 10 Jauch-Piron States.- 11 Independence of Quantum Systems.
Details
Erscheinungsjahr: 2003
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Fundamental Theories of Physics
Inhalt: viii
410 S.
ISBN-13: 9781402017148
ISBN-10: 1402017146
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Hamhalter, J.
Hersteller: Springer Netherland
Springer Netherlands
Fundamental Theories of Physics
Maße: 241 x 160 x 29 mm
Von/Mit: J. Hamhalter
Erscheinungsdatum: 31.10.2003
Gewicht: 0,793 kg
Artikel-ID: 102104522
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