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Abstract
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| A probability space contains a set of outcomes, a collection of events formed by subsets of the set of outcomes and probabilities defined for all events. A reformulation in terms of propositions allows to use the maximum entropy method to assign the probabilities taking some constraints into account. The construction of a probability space for quantum models is determined by the choice of propositions, choosing the constraints and making the probability assignment by the maximum entropy method. This approach shows, how typical quantum distributions such as Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein are partly related with well-known classical distributions. The relation between the conditional probability density, given some averages as constraints and the appropriate ensemble is elucidated. |
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Source (book)
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36th International Workshop on Bayesian Inference and Maximum Entropy, Methods in Science and Engineering (MaxEnt), JUL 10-15, 2016, Ghent Univ, Dept Appl Phys, Fus Data Sci Grp, Ghent Univ, Dept Appl Phys, Fus Data Sci Grp, Ghent, BELGIUM
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