On the quantum Boltzmann equation

article On the quantum Boltzmann equation published László Erdös author 4DBD5372-F248-11E8-B48F-1D18A9856A870000-0001-5366-9603 Manfred Salmhofer author Horng Yau author We give a nonrigorous derivation of the nonlinear Boltzmann equation from the Schrödinger evolution of interacting fermions. The argument is based mainly on the assumption that a quasifree initial state satisfies a property called restricted quasifreeness in the weak coupling limit at any later time. By definition, a state is called restricted quasifree if the four-point and the eight-point functions of the state factorize in the same manner as in a quasifree state. Springer2004 Journal of Statistical Physics10.1023/B:JOSS.0000037224.56191.ed 1161-4367 - 380 yes L. Erdös, M. Salmhofer, H. Yau, Journal of Statistical Physics 116 (2004) 367–380. Erdös, L., Salmhofer, M., & Yau, H. (2004). On the quantum Boltzmann equation. Journal of Statistical Physics. Springer. <a href="https://doi.org/10.1023/B:JOSS.0000037224.56191.ed">https://doi.org/10.1023/B:JOSS.0000037224.56191.ed</a> Erdös L, Salmhofer M, Yau H. 2004. On the quantum Boltzmann equation. Journal of Statistical Physics. 116(1–4), 367–380. L. Erdös, M. Salmhofer, and H. Yau, “On the quantum Boltzmann equation,” Journal of Statistical Physics, vol. 116, no. 1–4. Springer, pp. 367–380, 2004. Erdös, László, Manfred Salmhofer, and Horng Yau. “On the Quantum Boltzmann Equation.” Journal of Statistical Physics. Springer, 2004. <a href="https://doi.org/10.1023/B:JOSS.0000037224.56191.ed">https://doi.org/10.1023/B:JOSS.0000037224.56191.ed</a>. Erdös L, Salmhofer M, Yau H. On the quantum Boltzmann equation. Journal of Statistical Physics. 2004;116(1-4):367-380. doi:<a href="https://doi.org/10.1023/B:JOSS.0000037224.56191.ed">10.1023/B:JOSS.0000037224.56191.ed</a> Erdös, László, et al. “On the Quantum Boltzmann Equation.” Journal of Statistical Physics, vol. 116, no. 1–4, Springer, 2004, pp. 367–80, doi:<a href="https://doi.org/10.1023/B:JOSS.0000037224.56191.ed">10.1023/B:JOSS.0000037224.56191.ed</a>. 27072018-12-11T11:59:11Z2021-01-12T06:59:11Z