Diagram representation for the operator approach of one-step processes stochastization

By the means of the method of stochastization of one-step processes we get the simplified mathematical model of the original stochastic system. We can explore these models by standard methods, as opposed to the original system. The process of stochastization depends on the type of the system under study. We want to get a unified abstract formalism for stochastization of one-step processes. This formalism should be equivalent to the previously introduced. To unify the methods of construction of the master equation, we propose to use the diagram technique. We get a diagram technique, which allows to unify getting master equation for the system under study. Copyright © 2016 for the individual papers by the papers' authors.

Authors
Eferina E. 1 , Velieva T. 1 , Korolkova A. 1 , Hnatich M.2, 3, 4 , Kulyabov D. 1, 2 , Sevastianov L. 1, 2
Conference proceedings
Publisher
CEUR-WS
Language
Russian
Pages
28-34
Status
Published
Volume
1763
Year
2016
Organizations
  • 1 RUDN University (Peoples' Friendship University of Russia), Moscow, Russian Federation
  • 2 Institute for Nuclear Research, Dubna, Moscow region, Russian Federation
  • 3 Institute of Experimental Physics, Košice, Slovakia
  • 4 Pavol Jozef Šáfarik University in Košice (UPJŠ), Košice, Slovakia
Keywords
Diagram technique; Dirac notation; Fock space; Master equation; Occupation numbers representation; One-step processes
Date of creation
19.10.2018
Date of change
01.03.2021
Short link
https://repository.rudn.ru/en/records/article/record/4387/
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