Klein-Gordon Equation in Hydrodynamical Form

Details Klein-Gordon Equation in Hydrodynamical Form Klein-Gordon Equation in Hydrodynamical Form

2010-11-24

arxiv.org/abs/1011.5510v3

J.Math.Phys.51:122304,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages

Scientific paper

10.1063/1.3526964

We follow and modify the Feshbach-Villars formalism by separating the Klein-Gordon equation into two coupled time-dependent Schroedinger equations for particle and antiparticle wave function components with positive probability densities. We find that the equation of motion for the probability densities is in the form of relativistic hydrodynamics where various forces have their classical counterparts, with the additional element of the quantum stress tensor that depends on the derivatives of the amplitude of the wave function. We derive the equation of motion for the Wigner function and we find that its approximate classical weak-field limit coincides with the equation of motion for the distribution function in the collisionless kinetic theory.

Affiliated with

Also associated with

No associations

Rating

Klein-Gordon Equation in Hydrodynamical Form does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Klein-Gordon Equation in Hydrodynamical Form, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Klein-Gordon Equation in Hydrodynamical Form will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-586400