Bogoliubov's chains and Vlasov's and Wigner's kinetic equations in the post-Galilean approximation
Abstract
The paper is concerned with the derivation of Bogoliubov's chains as well as Vlasov's and Wigner's kinetic equations from the post-Galilean dynamic equations, including Euler-Lagrange, Hamilton, and Schroedinger equations. Derivation procedures are presented along with the proofs for the corresponding theorems. Some characteristic properties of Vlasov's and Wingner's equations are discussed.
- Publication:
-
IN: Statistical mechanics and theory of dynamic systems - In celebration of the 80th birthday of Academician Nikolai Nikolaevich Bogoliubov (A91-29994 11-77). Moscow
- Pub Date:
- 1989
- Bibcode:
- 1989smtd.book..162P
- Keywords:
-
- Bogoliubov Theory;
- Light Speed;
- Particle Interactions;
- Vlasov Equations;
- Wigner Coefficient;
- Approximation;
- Euler-Lagrange Equation;
- Kinetic Theory;
- Physical Optics;
- Schroedinger Equation;
- Physics (General)