Loading…

Contextual Approach to Quantum Formalism

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...

Full description

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Khrennikov, Andrei Y. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2009.
Edition:1st ed. 2009.
Series:Fundamental Theories of Physics, 160
Subjects:
Online Access:Texto Completo
Table of Contents:
  • Quantum and Classical Probability
  • Quantum Mechanics: Postulates and Interpretations
  • Classical Probability Theories
  • Contextual Probability and Quantum-Like Models
  • 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
  • Bell's Inequality
  • 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
  • Interrelation between Classical and Quantum Probabilities
  • Discrete Time Dynamics
  • Noncommutative Probability in Classical Disordered Systems
  • Derivation of Schrödinger's Equation in the Contextual Probabilistic Framework
  • Hyperbolic Quantum Mechanics
  • Representation of Contextual Statistical Model by Hyperbolic Amplitudes
  • Hyperbolic Quantum Mechanics as Deformation of Conventional Classical Mechanics.