Foundations of Quantum Mechanics and Ordered Linear Spaces: Advanced Study Institute held in Marburg 1973 (Lecture Notes in Physics, 29) - Softcover

Softcover

ISBN 10: 3540067256 ISBN 13: 9783540067252

Publisher: Springer, 1974

Synopsis

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 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.

Edition details

• Publisher: Springer
• Publication date: 1974
• Language: English
• ISBN 10: 3540067256
• ISBN 13: 9783540067252
• Binding: Paperback
• Edition number: 1
• Number of pages: 365
• Editor: Hartkämper A., Neumann H.