Generalized kinetic equation for a dynamical system interacting with a phonon field

1980 ◽  
Vol 43 (1) ◽  
pp. 283-292 ◽  
Author(s):  
N. N. Bogolyubov
Keyword(s):  
Dynamical System ◽  
Kinetic Equation ◽  
Phonon Field ◽  
Generalized Kinetic Equation

scholarly journals Generalized kinetic equation with spatio-temporal nonlocality

2019 ◽  
Vol 6 (2) ◽  
pp. 289-296 ◽  
Author(s):  
P. P. Kostrobij ◽  
◽  
B. M. Markovych ◽  
I. A. Ryzha ◽  
M. V. Tokarchuk ◽  
...  
Keyword(s):  
Kinetic Equation ◽  
Generalized Kinetic Equation ◽  
Spatio Temporal

Solution of Generalized Jaynes-Cummings Model for many Particle Systems

2013 ◽  
Vol 481 ◽  
pp. 272-277
Author(s):  
N.N. Jr. Bogolubov ◽  
M.Yu. Rasulova ◽  
I.A. Tishabaev
Keyword(s):  
Kinetic Equation ◽  
Linear Equation ◽  
Schrodinger Equation ◽  
Particle Systems ◽  
Cavity Field ◽  
One Dimensional ◽  
Generalized Kinetic Equation ◽  
The One ◽  
The Given ◽  
Multi Mode

We consider the dynamics of a system consisting of N two-level atoms interacting with a multi-mode cavity field. For the given system, the generalized kinetic equation is obtained and conditions are given under which its solution is reduced to solution of a linear equation, and of the one-dimensional nonlinear Schrodinger equation, respectively.

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