Title of article :
THE PERTURBATION TO NON-MARKOVIAN EQUATION OF MOTION CORRESPONDING TO COHERENT and QUADRATURE NON-MARKOVIAN SSES
Author/Authors :
HASSAN, N Department of Mathematics - Faculty of Education for Pure Sciences at Thi-Qar University, Iraq , POURDARVISH, A Department of Statistics - Faculty of Mathematical Sciences University of Mazandran - Babolsar, Iran , SADEGHI, J Department of Statistics - Faculty of Mathematical Sciences University of Mazandran - Babolsar, Iran
Abstract :
In this paper, we derive the perturbation and post Markovian perturbation
to non-Markovian equation of motion(NMEM) that correspond to coherent and quadrature non-Markovian stochastic Schr¨odinger equations (SSE). In that case, we derive
two perturbation approaches for zero and first orders to the coherent and quadrature
NMEM. In order to explain both approaches, we apply two examples of non-Markovian.
Keywords :
perturbation method , post Markovian perturbation method , non-Markovian equation of motion , probability operator , functional operator
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics