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Feb 4, 2002 · 1. Quantum Mechanics as a Probability Calculus. 1.1 Quantum Probability in a Nutshell. 1.2 The “Logic” of Projections. 1.3 Probability Measures and Gleason’s Theorem. 1.4 The Reconstruction of QM. 2. Interpretations of Quantum Logic. 2.1 Realist Quantum Logic. 2.2 Operational Quantum Logic. 3. Generalized Probability Theory.
- Quantum Theory and Mathematical Rigor
A brief explanation for this shift is provided below. See...
- The Basic Theory of Ordering Relations
The Basic Theory of Ordering Relations. What follows is the...
- Bell's Theorem
Bell’s Theorem is the collective name for a family of...
- Quantum Theory and Mathematical Rigor
of quantum mechanics. Indeed, whether quantum probability can or cannot be ultimately reduced to classical probability connects rather nicely to the question of ‘hidden variables’ in quantum mechanics. 1 Quantum mechanics (once over gently) If a spinning charged object ies through an appropriately inhomogeneous
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ically relevant differences between abelian (classical) probability theory, nonabelian type I probability theory and non-type–I probability theory will be indicated in Section 7. 2 Algebras of Bounded Operators In this section we shall briefly describe the aspects of operator algebra theory which are most relevant to our topic.
- Miklos Redei, Stephen J. Summers
- 2006
Notes to Quantum Logic and Probability Theory. 1. A few qualifications are in order already: In a more general formulation, one considers the lattice of projections of a von Neumann algebra. Only in the context of non-relativistic quantum mechanics, and then only absent superselection rules, is this algebra a type I factor.
This book compares various approaches to the interpretation of quantum mechanics, in particular those which are related to the key words "the Copenhagen interpretation", "the antirealist view", "quantum logic" and "hidden variable theory".
pp 339–347. Cite this chapter. Download book PDF. Enrico G. Beltrametti. 289 Accesses. 1 Citations. Abstract. By events, or yes-no experiments, pertaining to some physical system we understand the physical quantities, or observables, that admit only two outcomes.
Jun 28, 2014 · Quantum Probability. Stanley P. Gudder. Academic Press, Jun 28, 2014 - Science - 316 pages. Quantum probability is a subtle blend of quantum mechanics and classical probability...
