Impurity in a zero-temperature three-dimensional Fermi gas
Impurity in a zero-temperature three-dimensional Fermi gas
We consider an impurity in a sea of zero-temperature fermions uniformly distributed throughout the space. The impurity scatters on fermions. On average, the momentum of impurity decreases with time as ${t}^{\ensuremath{-}1/(d+1)}$ in $d$ dimensions, and the momentum distribution acquires a scaling form in the long-time limit. We solve the Lorentz-Boltzmann …