book chapter published yes László Erdös author 4DBD5372-F248-11E8-B48F-1D18A9856A870000-0001-5366-9603 38th Winter School of Theoretical Physics : Dynamical Semigroups: Dissipation, Chaos, Quanta We outline the status of rigorous derivations of certain classical evolution equations as limits of Schrödinger dynamics. We explain two recent results jointly with H.T. Yau in more details. The first one is the derivation of the linear Boltzmann equation as the long time limit of the one-body Schrödinger equation with a random potential. The second one is the mean field limit of high density bosons with Coulomb interaction that leads to the nonlinear Hartree equation. Springer2002 eng 978354044111310.1007/3-540-46122-1_19 487 - 506 yes L. Erdös, “Scaling limits of Schrödinger quantum mechanics,” in <i>Dynamics of Dissipation</i>, Springer, 2002, pp. 487–506. Erdös L. Scaling limits of Schrödinger quantum mechanics. In: <i>Dynamics of Dissipation</i>. Lecture Notes in Physics. Springer; 2002:487-506. doi:<a href="https://doi.org/10.1007/3-540-46122-1_19">10.1007/3-540-46122-1_19</a> Erdös, László. “Scaling Limits of Schrödinger Quantum Mechanics.” In <i>Dynamics of Dissipation</i>, 487–506. Lecture Notes in Physics. Springer, 2002. <a href="https://doi.org/10.1007/3-540-46122-1_19">https://doi.org/10.1007/3-540-46122-1_19</a>. Erdös, L. (2002). Scaling limits of Schrödinger quantum mechanics. In <i>Dynamics of Dissipation</i> (pp. 487–506). Springer. <a href="https://doi.org/10.1007/3-540-46122-1_19">https://doi.org/10.1007/3-540-46122-1_19</a> Erdös L. 2002.Scaling limits of Schrödinger quantum mechanics. In: Dynamics of Dissipation. LNP, , 487–506. L. Erdös, in:, Dynamics of Dissipation, Springer, 2002, pp. 487–506. Erdös, László. “Scaling Limits of Schrödinger Quantum Mechanics.” <i>Dynamics of Dissipation</i>, Springer, 2002, pp. 487–506, doi:<a href="https://doi.org/10.1007/3-540-46122-1_19">10.1007/3-540-46122-1_19</a>. 26942018-12-11T11:59:06Z2023-07-18T10:23:18Z