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About Lecture Notes On Quantum Brownian Motion
This document provides lecture notes on deriving diffusion from the Schrodinger equation by taking appropriate scaling limits. It presents mathematical tools to justify the emergence of diffusion from quantum mechanics. The notes cover classical and quantum mechanics of a single particle, random Schrodinger operators, taking kinetic and diffusive scaling limits to obtain the Boltzmann equation and heat equation respectively, and techniques using Feynman graphs to rigorously prove these derivations. The goal is to verify diffusion as an emergent phenomenon from the underlying microscopic quantum dynamics.
Detailed Information
| Author: | ['VigneshRamakrishnan'] |
|---|---|
| Publication Year: | 2017 |
| Pages: | 92 |
| Language: | English |
| Format: | |
| Price: | FREE |
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