Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field

L. Erdös, Journal of Statistical Physics 107 (2002) 1043–1127.

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Abstract
We consider the long time evolution of a quantum particle weakly interacting with a phonon field. We show that in the weak coupling limit the Wigner distribution of the electron density matrix converges to the solution of the linear Boltzmann equation globally in time. The collision kernel is identified as the sum of an emission and an absorption term that depend on the equilibrium distribution of the free phonon modes.
Publishing Year
Date Published
2002-06-01
Journal Title
Journal of Statistical Physics
Volume
107
Issue
5-6
Page
1043 - 1127
IST-REx-ID

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Erdös L. Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field. Journal of Statistical Physics. 2002;107(5-6):1043-1127. doi:10.1023/A:1015157624384
Erdös, L. (2002). Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field. Journal of Statistical Physics, 107(5–6), 1043–1127. https://doi.org/10.1023/A:1015157624384
Erdös, László. “Linear Boltzmann Equation as the Long Time Dynamics of an Electron Weakly Coupled to a Phonon Field.” Journal of Statistical Physics 107, no. 5–6 (2002): 1043–1127. https://doi.org/10.1023/A:1015157624384.
L. Erdös, “Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field,” Journal of Statistical Physics, vol. 107, no. 5–6, pp. 1043–1127, 2002.
Erdös L. 2002. Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field. Journal of Statistical Physics. 107(5–6), 1043–1127.
Erdös, László. “Linear Boltzmann Equation as the Long Time Dynamics of an Electron Weakly Coupled to a Phonon Field.” Journal of Statistical Physics, vol. 107, no. 5–6, Springer, 2002, pp. 1043–127, doi:10.1023/A:1015157624384.

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