Algebraic Probability, Classical Stochastic Processes, and Counting Statistics

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概要

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• We study a connection between the algebraic probability and classical stochastic processes described by master equations. Introducing a definition of a state which has not been used for quantum cases, the classical stochastic processes can be reformulated in terms of the algebraic probability. This reformulation immediately gives the Doi--Peliti formalism, which has been frequently used in nonequilibrium physics. As an application of the reformulation, we give a derivation of basic equations for counting statistics, which plays an important role in nonequilibrium physics.

• 2013-08-15

著者

• OHKUBO Jun

  Graduate School of Informatics, Kyoto University

• Ohkubo Jun

  Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan

関連論文

• Algebraic Probability, Classical Stochastic Processes, and Counting Statistics
• Algebraic Probability, Classical Stochastic Processes, and Counting Statistics
• Basics of Counting Statistics

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