Scaling limits of Schrödinger quantum mechanics
Erdös L. 2002.Scaling limits of Schrödinger quantum mechanics. In: Dynamics of Dissipation. LNP, , 487–506.
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Book Chapter
| Published
| English
Author
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
Book Title
Dynamics of Dissipation
Page
487 - 506
Conference
38th Winter School of Theoretical Physics : Dynamical Semigroups: Dissipation, Chaos, Quanta
ISBN
IST-REx-ID
Cite this
Erdös L. Scaling limits of Schrödinger quantum mechanics. In: Dynamics of Dissipation. Lecture Notes in Physics. Springer; 2002:487-506. doi:10.1007/3-540-46122-1_19
Erdös, L. (2002). Scaling limits of Schrödinger quantum mechanics. In Dynamics of Dissipation (pp. 487–506). Springer. https://doi.org/10.1007/3-540-46122-1_19
Erdös, László. “Scaling Limits of Schrödinger Quantum Mechanics.” In Dynamics of Dissipation, 487–506. Lecture Notes in Physics. Springer, 2002. https://doi.org/10.1007/3-540-46122-1_19.
L. Erdös, “Scaling limits of Schrödinger quantum mechanics,” in Dynamics of Dissipation, Springer, 2002, pp. 487–506.
Erdös L. 2002.Scaling limits of Schrödinger quantum mechanics. In: Dynamics of Dissipation. LNP, , 487–506.
Erdös, László. “Scaling Limits of Schrödinger Quantum Mechanics.” Dynamics of Dissipation, Springer, 2002, pp. 487–506, doi:10.1007/3-540-46122-1_19.
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