Contextual approach to quantum formalism [electronic resource] / Andrei Khrennikov.

The aim of this book is to show that the probabilistic formalisms of classical statistical mechanics and quantum mechanics can be unified on the basis of a general contextual probabilistic model. By taking into account the dependence of (classical) probabilities on contexts (i.e. complexes of physic...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Khrennikov, A. I︠U︡. (Andreĭ I︠U︡rʹevich), 1958-
Format: Electronic eBook
Language:English
Published: [Dordrecht] : Springer, ©2009.
Series:Fundamental theories of physics ; v. 160.
Subjects:
Table of Contents:
  • Quantum mechanics : postulates and interpretations
  • Classical probability theories
  • Contextual probability and interference
  • Quantum-like representation of contextual probabilistic model
  • Ensemble representation of contextual statistical model
  • Latent quantum-like structure in the Kolmogorov model
  • interference of probabilities from law of large numbers
  • Probabilistic analysis of Bell's argument
  • Bell's inequality for conditional probabilities
  • Frequency probabilistic analysis of Bell-type considerations
  • Original EPR-experiment : local realistic model
  • Discrete time dynamics
  • Noncommutative probability in classical disordered systems
  • Derivation of Schrödinger's equation in the contextual probabilistic framework
  • Representation of contextual statistical model by hyperbolic amplitudes
  • Hyperbolic quantum mechanics as deformation of conventional classical mechanics.