Search results
- The precepts of quantum mechanics are neither a set of physical forces nor a geometric model for physical objects. Rather, they are a generalization of classical probability theory that modifies the ef-fects of physical forces.
www.math.ucdavis.edu › ~greg › introAn introduction to quantum probability, quantum mechanics ...
People also ask
Is quantum mechanics a generalization of classical probability theory?
Is quantum probability a generalization?
Can quantum logic generalize the event spaces of classical probability?
Does generalized probability theory differ from classical probability theory?
Feb 4, 2002 · Quantum Mechanics as a Probability Calculus. It is uncontroversial (though remarkable) that the formal apparatus of quantum mechanics reduces neatly to a generalization of classical probability in which the role played by a Boolean algebra of events in the latter is taken over by the “quantum logic” of projection operators on a Hilbert space.
- Quantum Theory and Mathematical Rigor
Unlike quantum mechanics which has a canonical mathematical...
- The Basic Theory of Ordering Relations
Supplement to Quantum Logic and Probability Theory. The...
- Bell's Theorem
Bell’s Theorem is the collective name for a family of...
- Quantum Theory and Mathematical Rigor
Oct 8, 2007 · 1. QUANTUM PROBABILITY The precepts of quantum mechanics are neither a set of physical forces nor a geometric model for physical objects. Rather, they are a generalization of classical probability theory that modifies the ef-fects of physical forces. If you have firmly accepted classical probability, it is tempting to suppose that
Quantum theory shares with classical probability theory a substantial core of common properties. Quantum theory and classical probability theory mark opposite extremes in their response to interrogation – quantum theory maximises agent-dependency.
1. QUANTUM PROBABILITY The precepts of quantum mechanics are neither a set of physical forces nor a geometric model for physical objects. Rather, they are a variant, and ultimately a generalization, of classical probability theory. (This is following the standard Copenhagen interpretation; see Section 1.6.) Quantum proba-
- 501KB
- 36
Nov 3, 2017 · But two axioms distinguish quantum mechanics from classical statistical mechanics: an “ontic extension” defines a nonseparable (global) random variable that generates physical correlations,...
- Agung Budiyono, Daniel Rohrlich
- 2017
The topic of probability in quantum mechanics is rather vast. In this chapter it is discussed from the perspective of whether and in what sense quantum mechanics requires a generalization of the usual (Kolmogorovian) concept of probability.
Jan 13, 2016 · Concluding this section, we stress that the standard von Neumann–Lüders transition probability cannot be treated as a generalization of classical conditional probability to the quantum region, because it does not satisfy the quantum–classical correspondence principle.
