Semi-classical beam cooling in an intense laser pulse
  We present a novel technique for studying the evolution of a particle distribution using single particle dynamics such that the distribution can be accurately reconstructed using fewer particles than existing approaches. To demonstrate this, the Landau-Lifshiftz description of radiation reaction is adapted into a semi-classical model, for which the Vlasov equation is intractable. Collision between an energetic electron bunch and high-intensity laser pulses are then compared using the two theories. Reduction in beam cooling is observed for the semi-classical case. 
Samuel R. Yoffe, Yevgen Kravets, Adam Noble and Dino A. Jaroszynski
physics.plasm-ph physics.acc-ph