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A Stationary Phase Approach to the Weak Coupling Schrödinger Equation

✍ Scribed by Sivan Rottenstreich


Publisher
Springer
Year
2006
Tongue
English
Weight
455 KB
Volume
124
Category
Article
ISSN
0022-4715

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Linear Boltzmann equation as the weak co
✍ László Erdős; Horng-Tzer Yau 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 392 KB 👁 1 views

We study the 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 a solution of a linear Boltzmann equation globally in time. The Boltzmann collision kernel is given by the Born approx