Foundations of Quantum Mechanics and Ordered Linear Spaces
Springer Berlin (Hersteller)
978-3-540-38650-6 (ISBN)
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.
| Erscheint lt. Verlag | 6.7.2005 |
|---|---|
| Reihe/Serie | Lecture Notes in Physics |
| Physics and Astronomy | Physics and Astronomy (R0) |
| Zusatzinfo | VI, 359 p. 1 illus. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Quantenphysik |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | Algebra • Base • Decomposition • Dynamics • Mechanics • Physics • quantum mechanics • Quantum Theory • scattering • scattering theory • Spaces • Spectra • Structure • System |
| ISBN-10 | 3-540-38650-5 / 3540386505 |
| ISBN-13 | 978-3-540-38650-6 / 9783540386506 |
| Zustand | Neuware |
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