Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation
Erdös L. 1999. Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation. Proceedings of the 7th QMath Conference. QMath: Mathematical Results in Quantum Physics, Operator Theory: Advances and Applications, vol. 108, 233–242.
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Conference Paper
| Published
| English
Scopus indexed
Author
Series Title
Operator Theory: Advances and Applications
Abstract
We study the long time evolution of a quantum particle in a Gaussian random environment. We show that in the weak coupling limit the Wigner distribution of the wave function converges to the solution of a linear Boltzmann equation globally in time. The Boltzmann collision kernel is given by the Born approximation of the quantum scattering cross section.
Publishing Year
Date Published
1999-01-01
Proceedings Title
Proceedings of the 7th QMath Conference
Volume
108
Page
233 - 242
Conference
QMath: Mathematical Results in Quantum Physics
Conference Location
Prague, Czech Republik
Conference Date
1998-06-22 – 1999-09-26
ISBN
IST-REx-ID
Cite this
Erdös L. Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation. In: Proceedings of the 7th QMath Conference. Vol 108. World Scientific Publishing; 1999:233-242. doi:10.1007/978-3-0348-8745-8_20
Erdös, L. (1999). Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation. In Proceedings of the 7th QMath Conference (Vol. 108, pp. 233–242). Prague, Czech Republik: World Scientific Publishing. https://doi.org/10.1007/978-3-0348-8745-8_20
Erdös, László. “Linear Boltzmann Equation as the Weak Coupling Limit of the Random Schrödinger Equation.” In Proceedings of the 7th QMath Conference, 108:233–42. World Scientific Publishing, 1999. https://doi.org/10.1007/978-3-0348-8745-8_20.
L. Erdös, “Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation,” in Proceedings of the 7th QMath Conference, Prague, Czech Republik, 1999, vol. 108, pp. 233–242.
Erdös L. 1999. Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation. Proceedings of the 7th QMath Conference. QMath: Mathematical Results in Quantum Physics, Operator Theory: Advances and Applications, vol. 108, 233–242.
Erdös, László. “Linear Boltzmann Equation as the Weak Coupling Limit of the Random Schrödinger Equation.” Proceedings of the 7th QMath Conference, vol. 108, World Scientific Publishing, 1999, pp. 233–42, doi:10.1007/978-3-0348-8745-8_20.
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