Fluid moment hierarchy equations derived from gauge invariant quantum kinetic theory

Details Fluid moment hierarchy equations derived from gauge invariant quantum kinetic theory Fluid moment hierarchy equations derived from gauge invariant quantum kinetic theory

2009-12-23

arxiv.org/abs/0912.4718v1

Physics

Quantum Physics

12 pages, 1 figure

Scientific paper

The gauge invariant electromagnetic Wigner equation is taken as the basis for a fluid-like system describing quantum plasmas, derived from the moments of the gauge invariant Wigner function. The use of the standard, gauge dependent Wigner function is shown to produce inconsistencies, if a direct correspondence principle is applied. The propagation of linear transverse waves is considered and shown to be in agreement with the kinetic theory in the long wavelength approximation, provided an adequate closure is chosen for the macroscopic equations. A general recipe to solve the closure problem is suggested.

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