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Jafar Sadeghi

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Science
Address:
Phone: 9111125092

Research

Title
The poisition non Markovian master equation
Type
JournalPaper
Keywords
Post Markovian perturbation Position Non Markovian master equation Statistical operator Functional operator
Year
2017
Journal CHAOS SOLITONS & FRACTALS
DOI
Researchers Ahmad Pourdarvish ، Jafar Sadeghi ، nabeel javad hassan

Abstract

In this paper, we derive the non Markovian master equation (NMME) that correspond to position non Markovian stochastic Schrödinger equation (PNMSSE) in linear and non linear cases. In this case, using Nivokov property we derive four formulas of (NMME) for linear and non linear cases respectively. The functional derivative operator may depend on time and independent with respect to noise. Here, we determine the functional derivative of statistical operator. When the functional derivative operator depends on time and noise, one can calculate the perturbation and post Markovian perturbation for the functional operator, which exists in position non Markovian equation of motion (PNMEM). In order to explain our theory, we present a simple non Markovian example. Finally, we give the conclusion and the plan for future works.