Foundations of Quantum Mechanics and Ordered Linear Spaces
Foundations of Quantum Mechanics and Ordered Linear Spaces Advanced Study Institute Marburg 1973 / [electronic resource] :
edited by A. Hartkämper, H. Neumann.
- VI, 359 p. 1 illus. online resource.
- Lecture Notes in Physics, 29 0075-8450 ; .
- Lecture Notes in Physics, 29 .
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 Šilov boundary of a convex cone -- A Radon-nikodym-theorem for operators with an application to spectral theory.
9783540386506
10.1007/3-540-06725-6 doi
Quantum theory.
Quantum Physics.
QC173.96-174.52
530.12
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 Šilov boundary of a convex cone -- A Radon-nikodym-theorem for operators with an application to spectral theory.
9783540386506
10.1007/3-540-06725-6 doi
Quantum theory.
Quantum Physics.
QC173.96-174.52
530.12