Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation

L. Erdös, in:, World Scientific Publishing, 1999, pp. 233–242.

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Conference Paper | Published
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
Volume
108
Page
233 - 242
Conference
QMath: Mathematical Results in Quantum Physics
IST-REx-ID

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Erdös L. Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation. In: 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 (Vol. 108, pp. 233–242). Presented at the QMath: Mathematical Results in Quantum Physics, 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,” 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,” presented at the QMath: Mathematical Results in Quantum Physics, 1999, vol. 108, pp. 233–242.
Erdös L. 1999. Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation. 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. Vol. 108, World Scientific Publishing, 1999, pp. 233–42, doi:10.1007/978-3-0348-8745-8_20.

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