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...

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Главный автор: Hlebnikov, Andrej Ûr½evič, 1958-...., mathématicien
Другие авторы: Ghirardi, Gian Carlo, 1935-2018 (Публикующий директор), Van der Merwe, Alwyn, 1927-...., physicien (Публикующий директор), Petkov, Vesselin, 1942-...., mathématicien (Публикующий директор), Sudbery, Tony, 19..- (Публикующий директор)
Формат: Livre numérique
Язык:Anglais
Опубликовано: Dordrecht : Springer Netherlands [20..].
Cham : Springer Nature
Редактирование:1st ed. 2009.
Серии:Fundamental Theories of Physics 160
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Edition sous un autre format:• Contextual approach to quantum formalism, Andrei Khrennikov, [Dordrecht], Springer, 2009, 1 vol. (XXVIII-353 p.), Fundamental theories of physics, 978-1-4020-9592-4
• Contextual Approach to Quantum Formalism, Texte imprimé, 9781402096105
• Contextual Approach to Quantum Formalism, Texte imprimé, 9789048181643
• Contextual approach to quantum formalism, Andrei Khrennikov, [Dordrecht], Springer, 2009, 1 vol. (XXVIII-353 p.), Fundamental theories of physics, 978-1-4020-9592-4
Оглавление:
  • 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