Wigner-Moyal description of free variable mass Klein-Gordon fields

Abstract

A system of coupled kinetic transport equations for the Wigner distributions of a free variable mass Klein-Gordon field is derived. This set of equations is formally equivalent to the full wave equation for electromagnetic waves in nonlinear dispersive media, thus allowing for the description of broadband radiation-matter interactions and the associated instabilities. The standard results for the classical wave action are recovered in the short wavelength limit of the generalized Wigner-Moyal formalism for the wave equation.

9 pages, accepted for publication in Journal of Mathematical Physics

References in corpus (3)

• Statistical Theory for Incoherent Light Propagation in Nonlinear Media
• New features of modulational instability of partially coherent light; importance of the incoherence spectrum
• Transverse modulational instability of partially incoherent soliton stripes

Cited by in corpus (6)

• White-light parametric instabilities in plasmas
• Wave kinetics of drift-wave turbulence and zonal flows beyond the ray approximation
• Bandwidth effects in stimulated Brillouin scattering driven by partially incoherent light
• Structure formation in turbulence as instability of effective quantum plasma
• Applicability of the Klein-Gordon equation for pair production in vacuum and plasma
• Statistical theory of the broadband two-plasmon decay instability