The Boltzmann-Langevin Equation for Photons

概要

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Under the assumr>tion that a material svstem inateractinm with r>hotons is inthermal equilibrium, the quantal Boltzmann-Langevin equation for photons isderived bv the use of the r>hoton coherent states. In the second order ar>r>roxima-tion with respect to the interaction, this equation is found to be a multi-variableFokker-Planck eczuation sur>r>lemented bv a fluctuatinu force. The Maxwell-Langevin equations for field operators are constructed from this basic equationas the first moment equations. The kinetic coefficients appearing in the Maxwell-Langevin equations are obtained in forms of the Kubo formulae, as was alreadyshown in the authors' previous paper. The seconcl moment equations are alsoderived. When the material system have no optical r'otatory power, these momentequations can be solved: Relaxation phenomena of photons are shown to bequite similar to those for spin systems.
社団法人日本物理学会の論文
1981-07-15