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Дата последнего поиска статьи во внешних источниках: 27 мая 2015 г.
Аннотация:We give the first rigorous derivation of a kinetic equation in a nontrivial translation invariant situation. We consider the heavy particle (mass scaled as m-epsilon-delta, delta greater-than-or-equal-to 0) in the ideal fermi gas with translation invariant interaction epsilon V between them. In the Heisenberg representation we prove convergence to the strongly continuous completely-positive semigroup T(s) for any value of scaled time s, t = s/epsilon-2 and for delta > 2. When delta = 2 T(s) is not a semigroup. For 0 less-than-or-equal-to delta < 2 we announce some more weak results.
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http://dx.doi.org/10.5169/seals-116331