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hartkamper foundations quantum mechanics ordered linear spaces 1974

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Textbook in PDF format The Advanced Study Institute on "Foundations of Quantum Mechanics and Ordered Linear Spaces" has been held at Marburg, Federal Republic of Germany, from March 26th to April 6th 1973. Mathematicians and physicists participated in the meeting. The lectures of the Institute were intended to prepare a common basis for discussions between mathematicians and physicists and for future research on foundations of quantum mechanics by ordered linear spaces. A series of lectures ("Course") provided a coherent introduction into the field of ordered normed vector spaces and their application to the foundation of quantum mechanics. Additional lectures treated special mathematical and physical topics, which were in more or less close connection to the lectures of the course. The present volume contains the notes of the lectures revised by the authors. 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 C*-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 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 Šilov boundary of a convex cone A Radon-Nikodym-Theorem for operators with an application to spectral theory

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Hartkamper A. Foundations of Quantum Mechanics and Ordered Linear Spaces 1974.pdf 13.4 MB

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hartkamper foundations quantum mechanics ordered linear spaces 1974

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