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Generalized Kadanoff-Baym ansatz for deriving quantum transport equations
Abstract
A systematic and unambiguous method of deriving generalized transport equations, i.e., equations for distribution functions having a single-time structure, on the basis of the nonequilibrium Green function is obtained, if the common Kadanoff-Baym (KB) ansatz is replaced by a modification which we call the generalized KB ansatz. This new ansatz is fully consistent with the dynamical structure of the theory and is independent of any specific representation. The resulting equations appear to be the zeroth-order approximation of a systematic expansion in terms of the collision duration. In the case of the electron transport in a strong homogeneous electric field, the generalized ansatz is shown to be in agreement with the superoperator methods, whereas the KB ansatz is known to fail in this case.
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Citations
Cited by
Nonequilibrium dynamical mean-field theory and its applications
Aoki, H., Tsuji, N., Eckstein, M., Kollar, M., Oka, T., & Werner, P. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.779 · Cited by 773
Quantum kinetic theory of plasmas in strong laser fields
Kremp, D., Bornath, T., Bonitz, M., & Schlanges, M. (1999) · Physical Review E · doi:10.1103/physreve.60.4725 · Cited by 373
Metadata
- Authors
- Lipavský, P., Špička, V., & Velický, B.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1986-11-15
- Volume
- 34
- Issue
- 10
- Pages
- 6933-6942
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2059264371
- Cited by
- 423
- References
- 0
- FWCI
- 2.11
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Generalized Kadanoff-Baym ansatz for deriving quantum transport equations. https://app.cochat.ai/papers/10.1103/physrevb.34.6933
- The paper
- Lipavský, P., Špička, V., & Velický, B. (1986). Generalized Kadanoff-Baym ansatz for deriving quantum transport equations. Physical Review B. https://doi.org/10.1103/physrevb.34.6933
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