On the Quantum Kinetic Equation in Weak Turbulence
Condensed Matter
2009-10-28 v1
Abstract
The quantum kinetic equation used in the study of weak turbulence is reconsidered in the context of a theory with a generic quartic interaction. The expectation value of the time derivative of the mode number operators is computed in a perturbation expansion which places the large diagonal component of the quartic term in the unperturbed Hamiltonian. Although one is not perturbing around a free field theory, the calculation is easily tractable owing to the fact that the unperturbed Hamiltonian can be written solely in terms of the mode number operators.
Keywords
Cite
@article{arxiv.cond-mat/9510107,
title = {On the Quantum Kinetic Equation in Weak Turbulence},
author = {Mark Rakowski and Siddhartha Sen},
journal= {arXiv preprint arXiv:cond-mat/9510107},
year = {2009}
}
Comments
12 pages, LATEX, no figures, to appear in Phys. Rev. E