Scaling limits of Schrödinger quantum mechanics

L. Erdös, in:, Springer, 2002, pp. 487–506.

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Conference Paper | Published
Series Title
LNP
Abstract
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.
Publishing Year
Date Published
2002-01-01
Volume
597
Page
487 - 506
Conference
38th Winter School of Theoretical Physics : Dynamical Semigroups: Dissipation, Chaos, Quanta
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Cite this

Erdös L. Scaling limits of Schrödinger quantum mechanics. In: Vol 597. Springer; 2002:487-506. doi:10.1007/3-540-46122-1_19
Erdös, L. (2002). Scaling limits of Schrödinger quantum mechanics (Vol. 597, pp. 487–506). Presented at the 38th Winter School of Theoretical Physics : Dynamical Semigroups: Dissipation, Chaos, Quanta, Springer. https://doi.org/10.1007/3-540-46122-1_19
Erdös, László. “Scaling Limits of Schrödinger Quantum Mechanics,” 597:487–506. Springer, 2002. https://doi.org/10.1007/3-540-46122-1_19.
L. Erdös, “Scaling limits of Schrödinger quantum mechanics,” presented at the 38th Winter School of Theoretical Physics : Dynamical Semigroups: Dissipation, Chaos, Quanta, 2002, vol. 597, pp. 487–506.
Erdös L. 2002. Scaling limits of Schrödinger quantum mechanics. 38th Winter School of Theoretical Physics : Dynamical Semigroups: Dissipation, Chaos, Quanta, LNP, vol. 597. 487–506.
Erdös, László. Scaling Limits of Schrödinger Quantum Mechanics. Vol. 597, Springer, 2002, pp. 487–506, doi:10.1007/3-540-46122-1_19.

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