---
_id: '2694'
abstract:
- lang: eng
  text: 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.
alternative_title:
- LNP
article_processing_charge: No
author:
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
citation:
  ama: '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>'
  apa: 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>
  chicago: 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>.
  ieee: L. Erdös, “Scaling limits of Schrödinger quantum mechanics,” in <i>Dynamics
    of Dissipation</i>, Springer, 2002, pp. 487–506.
  ista: 'Erdös L. 2002.Scaling limits of Schrödinger quantum mechanics. In: Dynamics
    of Dissipation. LNP, , 487–506.'
  mla: 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>.
  short: L. Erdös, in:, Dynamics of Dissipation, Springer, 2002, pp. 487–506.
conference:
  name: '38th Winter School of Theoretical Physics : Dynamical Semigroups: Dissipation,
    Chaos, Quanta'
date_created: 2018-12-11T11:59:06Z
date_published: 2002-01-01T00:00:00Z
date_updated: 2023-07-18T10:23:18Z
day: '01'
doi: 10.1007/3-540-46122-1_19
extern: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 487 - 506
publication: Dynamics of Dissipation
publication_identifier:
  isbn:
  - '9783540441113'
publication_status: published
publisher: Springer
publist_id: '4203'
quality_controlled: '1'
series_title: Lecture Notes in Physics
status: public
title: Scaling limits of Schrödinger quantum mechanics
type: book_chapter
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '2002'
...