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...
সংরক্ষণ করুন:
| প্রধান লেখক: | |
|---|---|
| অন্যান্য লেখক: | , , , |
| বিন্যাস: | Livre numérique |
| ভাষা: | Anglais |
| প্রকাশিত: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| সংস্করন: | 1st ed. 2009. |
| মালা: | Fundamental Theories of Physics
160 |
| অনলাইন ব্যবহার করুন: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| টীকা: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| 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 |
| সংক্ষিপ্ত: | 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 physical conditions), one can reproduce all distinct features of quantum probabilities such as the interference of probabilities and the violation of Bell s inequality. Moreover, by starting with a formula for the interference of probabilities (which generalizes the well known classical formula of total probability), one can construct the representation of contextual probabilities by complex probability amplitudes or, in the abstract formalism, by normalized vectors of the complex Hilbert space or its hyperbolic generalization. Thus the Hilbert space representation of probabilities can be naturally derived from classical probabilistic assumptions. An important chapter of the book critically reviews known no-go theorems: the impossibility to establish a finer description of micro-phenomena than provided by quantum mechanics; and, in particular, the commonly accepted consequences of Bell s theorem (including quantum non-locality). Also, possible applications of the contextual probabilistic model and its quantum-like representation in complex Hilbert spaces in other fields (e.g. in cognitive science and psychology) are discussed |
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| উপাদানের বিবরণ: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| আইসবিএন: | 9781402095931 |
| আইএসএসএন: | 2365-6425 |
| প্রবেশাধিকার: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |