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

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

2005-08-13

arxiv.org/abs/math-ph/0508027v1

J.Math.Phys. 46 (2005) 102901

Physics

Mathematical Physics

9 pages, accepted for publication in Journal of Mathematical Physics

Scientific paper

10.1063/1.2049169

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.

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