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.

Авторы
Eferina E. 1 , Velieva T. 1 , Korolkova A. 1 , Hnatich M.2, 3, 4 , Kulyabov D. 1, 2 , Sevastianov L. 1, 2
Сборник материалов конференции
Издательство
CEUR-WS
Язык
Русский
Страницы
28-34
Статус
Опубликовано
Том
1763
Год
2016
Организации
  • 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
Ключевые слова
Diagram technique; Dirac notation; Fock space; Master equation; Occupation numbers representation; One-step processes
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