Three-wave interaction and Manley-Rowe relations in quantum hydrodynamics
arXiv:1312.5585 · doi:10.1017/S0022377814000075
Abstract
The theory for nonlinear three-wave interaction in magnetized plasmas is reconsidered using quantum hydrodynamics. The general coupling coefficients are calculated for a generalized Bohm de Broglie term. It is found that the Manley-Rowe relations are fulfilled only if the form of the particle dispersive term coincides with the standard expression. The implications of our results are discussed.
14 pages