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# Christian Mendl : Matrix-valued Boltzmann equation for the Hubbard model

The talk is concerned with a matrix-valued Boltzmann equation derived from the Fermi-Hubbard or Bose-Hubbard model for weak interactions. The quantum analogue of the classical distribution function is the Wigner function, which is matrix-valued to accommodate the spin degree of freedom. Conservation laws and the H-theorem can be proven analytically, and numerical simulations illustrate the time dynamics.

**Category**: Applied Math and Analysis**Duration**: 01:34:53**Date**: February 3, 2014 at 4:25 PM**Views**: 124-
**Tags:**seminar, Applied Math And Analysis Seminar

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