Foundations of Quantum Mechanics and Ordered Linear Spaces

Advanced Study Institute held in Marburg 1973
Herausgegeben:Hartkämper, A.; Neumann, H.

• Broschiertes Buch

Produktbeschreibung

Orderings of vector spaces.- Duality of cones in locally convex spaces.- Order unit and base norm spaces.- Minimal decompositions in base normed spaces.- Simplex spaces.- Representation of Banach lattices.- Order ideals in ordered Banach spaces.- Order bounded operators and central measures.- Ordered normed tensor products.- Positive linear maps of Cu*-algebras.- Axiomatics of preparing and measuring procedures.- The structure of ordered Banach spaces in axiomatic quantum mechanics.- Measuring and preparing processes.- Models of the measuring process and of macro-theories.- The centre of a physical system.- Operations and effects in the Hilbert space formulation of quantum theory.- The empirical logic approach to the physical sciences.- The structure of quantum mechanics: Suggestions for a unified physics.- Irreversibility and dynamical maps of statistical operators.- The inner orthogonality of convex sets in axiomatic quantum mechanics.- Reduced dynamics in quantum mechanics.- The quantum mechanical Hilbert space formalism and the quantum mechanical probability space of the outcomes of measurements.- Mean ergodic semigroups and invariant ideals in ordered Banach spaces.- The representation of classical systems in quantum mechanics.- Extended Hilbert space formulation of Dirac's bra and ket formalism and its applications to abstract stationary scattering theory.- Projections on orthomodular lattices.- The ¿ilov boundary of a convex cone.- A Radon-nikodym-theorem for operators with an application to spectral theory.

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Produktdetails

• Lecture Notes in Physics 29
• Verlag: Springer, Berlin
• 1974.
• Seitenzahl: 368
• Erscheinungstermin: 10. April 1974
• Englisch
• Abmessung: 244mm x 170mm x 20mm
• Gewicht: 634g
• ISBN-13: 9783540067252
• ISBN-10: 3540067256
• Artikelnr.: 35978265

Inhaltsangabe

Orderings of vector spaces.- Duality of cones in locally convex spaces.- Order unit and base norm spaces.- Minimal decompositions in base normed spaces.- Simplex spaces.- Representation of Banach lattices.- Order ideals in ordered Banach spaces.- Order bounded operators and central measures.- Ordered normed tensor products.- Positive linear maps of Cu*-algebras.- Axiomatics of preparing and measuring procedures.- The structure of ordered Banach spaces in axiomatic quantum mechanics.- Measuring and preparing processes.- Models of the measuring process and of macro-theories.- The centre of a physical system.- Operations and effects in the Hilbert space formulation of quantum theory.- The empirical logic approach to the physical sciences.- The structure of quantum mechanics: Suggestions for a unified physics.- Irreversibility and dynamical maps of statistical operators.- The inner orthogonality of convex sets in axiomatic quantum mechanics.- Reduced dynamics in quantum mechanics.- The quantum mechanical Hilbert space formalism and the quantum mechanical probability space of the outcomes of measurements.- Mean ergodic semigroups and invariant ideals in ordered Banach spaces.- The representation of classical systems in quantum mechanics.- Extended Hilbert space formulation of Dirac's bra and ket formalism and its applications to abstract stationary scattering theory.- Projections on orthomodular lattices.- The Silov boundary of a convex cone.- A Radon-nikodym-theorem for operators with an application to spectral theory.