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.
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References
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© 1999 Springer Basel AG
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Erdős, L. (1999). Linear Boltzmann Equation as the Weak Coupling Limit of the Random Schrödinger Equation. In: Dittrich, J., Exner, P., Tater, M. (eds) Mathematical Results in Quantum Mechanics. Operator Theory Advances and Applications, vol 108. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8745-8_20
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DOI: https://doi.org/10.1007/978-3-0348-8745-8_20
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9754-9
Online ISBN: 978-3-0348-8745-8
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