Contextual Approach to Quantum Formalism

Authors:

ISBN: 978-1-4020-9592-4 (Print) 978-1-4020-9593-1 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xxviii

  2. Quantum and Classical Probability

    1. Front Matter

      Pages 1-2

    2. No Access

      Book Chapter

      Pages 3-26

      Quantum Mechanics: Postulates and Interpretations

    3. No Access

      Book Chapter

      Pages 27-43

      Classical Probability Theories

  3. Contextual Probability and Quantum-Like Models

    1. Front Matter

      Pages 45-46

    2. No Access

      Book Chapter

      Pages 47-79

      Contextual Probability and Interference

    3. No Access

      Book Chapter

      Pages 81-114

      Quantum-Like Representation of Contextual Probabilistic Model

    4. No Access

      Book Chapter

      Pages 115-130

      Ensemble Representation of Contextual Statistical Model

    5. No Access

      Book Chapter

      Pages 131-158

      Latent Quantum-Like Structure in the Kolmogorov Model

    6. No Access

      Book Chapter

      Pages 159-167

      Interference of Probabilities from Law of Large Numbers

  4. Bell’s Inequality

    1. Front Matter

      Pages 169-170

    2. No Access

      Book Chapter

      Pages 171-191

      Probabilistic Analysis of Bell’s Argument

    3. No Access

      Book Chapter

      Pages 193-203

      Bell’s Inequality for Conditional Probabilities

    4. No Access

      Book Chapter

      Pages 205-222

      Frequency Probabilistic Analysis of Bell-Type Considerations

    5. No Access

      Book Chapter

      Pages 223-237

      Original EPR-Experiment: Local Realistic Model

  5. Interrelation between Classical and Quantum Probabilities

    1. Front Matter

      Pages 239-240

    2. No Access

      Book Chapter

      Pages 241-267

      Discrete Time Dynamics

    3. No Access

      Book Chapter

      Pages 269-277

      Noncommutative Probability in Classical Disordered Systems

    4. No Access

      Book Chapter

      Pages 279-290

      Derivation of Schrödinger’s Equation in the Contextual Probabilistic Framework

  6. Hyperbolic Quantum Mechanics

    1. Front Matter

      Pages 291-292

    2. No Access

      Book Chapter

      Pages 293-310

      Representation of Contextual Statistical Model by Hyperbolic Amplitudes

    3. No Access

      Book Chapter

      Pages 311-324

      Hyperbolic Quantum Mechanics as Deformation of Conventional Classical Mechanics

  7. Back Matter

    Pages 325-353