On the Convergence to a Statistical Equilibrium for the Dirac Equation

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dc.creatorDudnikova, T. V.
dc.creatorKomech, A. I.
dc.creatorMauser, N. J.
dc.date2005-08-24
dc.date.accessioned2026-07-07T04:32:17Z
dc.date.available2026-07-07T04:32:17Z
dc.descriptionWe consider the Dirac equation in $\R^3$ with constant coefficients and study the distribution $μ_t$ of the random solution at time $t\in\R$. It is assumed that the initial measure $μ_0$ has zero mean, a translation-invariant covariance, and finite mean charge density. We also assume that $μ_0$ satisfies a mixing condition of Rosenblatt- or Ibragimov-Linnik-type. The main result is the convergence of $μ_t$ 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0508048
dc.identifierhttp://arxiv.org/abs/math-ph/0508048
dc.identifierRussian J. Math. Physics, 10 (2003), no.4, 399-410
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58137
dc.subjectMathematical Physics
dc.titleOn the Convergence to a Statistical Equilibrium for the Dirac Equation
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