Derivation of Boltzmann equation in closed-time-path formalism
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Publication:4507623
DOI10.1088/0305-4470/33/13/102zbMATH Open0956.82021arXivcond-mat/0003101OpenAlexW2085366065MaRDI QIDQ4507623
Publication date: 8 October 2000
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Abstract: A systematic derivation of Boltzmann equation is presented in the framework of closed-time-path formalism. Introducing a new type of probe, the expectation value of number operator is calculated as a functional of source. Then solving for the source by inverting the relation, the equation of motion for number is obtained when the source is removed, and it turns out to be the Boltzmann equation. The inversion formula is used in the course of derivation.
Full work available at URL: https://arxiv.org/abs/cond-mat/0003101
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