scholarly journals A consistent hierarchy of generalized kinetic equation approximations to the master equation applied to surface catalysis

2015 ◽  
Vol 142 (23) ◽  
pp. 234703 ◽  
Author(s):  
Gregory J. Herschlag ◽  
Sorin Mitran ◽  
Guang Lin
Keyword(s):  
Kinetic Equation ◽  
Master Equation ◽  
Surface Catalysis ◽  
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.

SOLUTION OF THE GENERALIZED KINETIC EQUATION FOR INTERACTING TWO-LEVEL ATOM AND CAVITY FIELD SYSTEM

2011 ◽  
Vol 25 (16) ◽  
pp. 1417-1425 ◽  
Author(s):  
M. Yu. RASULOVA ◽  
I. A. TISHABAEV
Keyword(s):  
Kinetic Equation ◽  
Cavity Field ◽  
Short History ◽  
Field System ◽  
Level Atom ◽  
History Of ◽  
Generalized Kinetic Equation

The paper is devoted to the investigation of dynamics of system, consisting of interacting two-level atoms and cavity field. Such a system also covers the Jaynes–Cummings model. This paper consists of an introduction, Secs. 2 and 3 and conclusion. In the introduction, a short history of the problem is presented and the problem is formulated. In Sec. 2, the generalized kinetic equation for the system is derived. In Sec. 3, the generalized kinetic equation is solved. In conclusion, the result is formulated.

QUANTUM DYNAMICS OF TWO-LEVEL ATOMS INTERACTING WITH AN ELECTROMAGNETIC FIELD

2014 ◽  
Vol 28 (08) ◽  
pp. 1450060
Author(s):  
N. N. BOGOLUBOV ◽  
M. Yu. RASULOVA ◽  
I. A. TISHABOEV
Keyword(s):  
Electromagnetic Field ◽  
Kinetic Equation ◽  
Linear Equation ◽  
Quantum Dynamics ◽  
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 (GKE) is obtained and conditions are given under which its solution is reduced to solution of a linear equation, and of the one-dimensional nonlinear Schrödinger equation, respectively.

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