On the Quantum Kinetic Equation in Weak Turbulence

Details On the Quantum Kinetic Equation in Weak Turbulence On the Quantum Kinetic Equation in Weak Turbulence

1995-10-19

arxiv.org/abs/cond-mat/9510107v1

Physics

Condensed Matter

12 pages, LATEX, no figures, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.53.586

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.

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