On the Convergence to a Statistical Equilibrium for the Dirac Equation

Details On the Convergence to a Statistical Equilibrium for the Dirac Equation On the Convergence to a Statistical Equilibrium for the Dirac Equation

2005-08-24

arxiv.org/abs/math-ph/0508048v1

Russian J. Math. Physics, 10 (2003), no.4, 399-410

Physics

Mathematical Physics

12 pages

Scientific paper

We consider the Dirac equation in $\R^3$ with constant coefficients and study the distribution $\mu_t$ of the random solution at time $t\in\R$. It is assumed that the initial measure $\mu_0$ has zero mean, a translation-invariant covariance, and finite mean charge density. We also assume that $\mu_0$ satisfies a mixing condition of Rosenblatt- or Ibragimov-Linnik-type. The main result is the convergence of $\mu_t$ to a Gaussian measure as $t\to\infty$. The proof uses the study of long time asymptotics of the solution and S.N. Bernstein's ``room-corridor'' method.

Affiliated with

Also associated with

No associations

Rating

On the Convergence to a Statistical Equilibrium for the Dirac Equation 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 On the Convergence to a Statistical Equilibrium for the Dirac Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Convergence to a Statistical Equilibrium for the Dirac Equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-269172