Foundations of Quantum Mechanics and Ordered Linear Spaces
Advanced Study Institute held in Marburg 1973
- Editore:
Springer Berlin Heidelberg
- Collana:
- Lecture Notes In Physics
- EAN:
9783540067252
- ISBN:
3540067256
- Pagine:
- 368
- Formato:
- Paperback
- Lingua:
- Tedesco
Descrizione Foundations of Quantum Mechanics and Ordered Linear Spaces
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.
