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Handbook of Quantum Logic and Quantum Structures: Quantum Structures Book

Handbook of Quantum Logic and Quantum Structures: Quantum Structures
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  • Handbook of Quantum Logic and Quantum Structures: Quantum Structures
  • Written by author Kurt Engesser
  • Published by Elsevier Science, September 2007
  • Since its inception in the famous 1936 paper by Birkhoff and von Neumann entitled “The logic of quantum mechanics” quantum logic, i.e. the logical investigation of quantum mechanics, has undergone an enormous development. Various schools of th
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Authors

Foreword   Anatolij Dvurecenskij     v
Editorial Preface   Kurt Engesser   Dov Gabbay   Daniel Lehmann     vii
List of Authors     xi
New Quantum Structures   Anatolij Dvurecenskij     1
Quantum Structures and Fuzzy Set Theory   Jaroslaw Pykacz     55
Algebraic and Measure-theoretic Properties of Classes of Subspaces of an Inner Product Space   David Buhagiar   Emmanuel Chetcuti   Anatolij Dvurecenskij     75
Quantum Probability   Stan Gudder     121
Quantum Logics as Underlying Structures of Generalized Probability Theory   Pavel Ptak   Sylvia Pulmannova     147
Quantum Logic and Partially Ordered Abelian Groups   David J. Foulis   Richard J. Greechie     215
Quantum Structures and Operator Algebras   Jan Hamhalter     285
Constructions of Quantum Structures   Mirko Navara     335
D-Posets   Ferdinand Chovanec   Frantisek Kopka     367
Wigner's Theorem and its Generalizations   Georges Chevalier     429
Propositional Systems, Hilbert Lattices and Generalized Hilbert Spaces   Isar Stubbe   Bart Van Steirteghem     477
Equations and Hilbert Lattices   Rene Mayet     525
The Source of the Orthomodular Law   John Harding     555
Starting from the Convex Set of States   Enrico Beltrametti     587
Quantum Logic and Automata Theory   Mingsheng Ying     619
Quantum Logic and Quantum Computation   Mladen Pavicic   Norman D. Megill     755
Index     793


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