Abstract
The inhomogeneous master equation obtained in a previous paper is employed to derive a hierarchy of moment equations (quantum mechanical) analogous to the BBGKY hierarchy; the method used is the generating function according to Laplace. In this master equation, and in all these moment equations as well, the effect of the interaction between the particles of the system is represented by relaxation terms; further, there are streaming terms due to the external field. The interactions considered are of a binary nature, fermion–boson or boson–boson. The resulting equations have a simple form (especially for fermion–boson interaction) since the terms representing the interaction can be cast in a form in which only the Boltzmann operator (appropriate to the one-body description) and the second order Fokker–Planck moment appear. The Boltzmann equations obtained by the new method are the same as before (K. M. van Vliet. J/Math. Phys.).
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call