Relativistic flow and non-linear Klein-Gordon equation
Dipartimento di Matematica e Informatica - Città Universitaria, Viale A. Doria 6, 95125 Catania, Italy, EU
Received: 7 October 2012
Accepted: 30 November 2012
A non-linear Klein-Gordon equation is presented which leads, in the semi-classical limit, to the equations describing the motion of a relativistic completely degenerate Fermi gas in one spatial dimension. In the non-relativistic limit the Klein-Gordon equation reduces to the quintic non-linear Schrödinger equation.
PACS: 52.27.Ny – Relativistic plasmas / 52.35.Mw – Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.) / 67.10.Db – Fermion degeneracy
© EPLA, 2012