05-209 David Eng, Laszlo Erdos

The Linear Boltzmann Equation as the Low Density Limit of a Random Schrodinger Equation (267K, latex with 4 .eps figure files) Jun 12, 05

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Abstract. We study the evolution of a quantum particle interacting with a random potential in the low density limit (Boltzmann-Grad). The phase space density of the quantum evolution defined through the Husimi function converges weakly to a linear Boltzmann equation with collision kernel given by the full quantum scattering cross section.

Files: 05-209.src( 05-209.keywords , ldl.tex , fig1.eps , fig2.eps , fig25.eps , fig3.eps )