Linear and Nonlinear Response Theory with Applications
The basic perturbation theoretic method for dealing with non-equilibrium quantum statistical mechanical problems has been known for years. The theory discussed here evolved from the work of Schwinger and was developed further by Kadanoff and Baym1. In fact virtually all the theory discussed here is contained in Kadanoff’s and Baym’s book. Essentially the same theory was developed independently by Keldysh2 who even anticipates a rather useful addendum by Craig3.
KeywordsBoltzmann Equation Perturbation Expansion Dyson Equation Gradient Expansion Photon Field
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- 2.L. V. Keldysh, J. Exptl. Theoret. Phys. (U.S.S.R.) 47, 1515 (1964) [English Translation: Soviet Physics JETP 20, 1018 (1965)].Google Scholar
- 6.See for example D. Pines, The Many-Body Problem, W. A. Benjamin, Inc., New York, 1961, p. 41, Eq. (2.49).Google Scholar
- 10b.J. Sweer, D. C. Langreth and J. W. Wilkins, Phys. Rev. (to appear).Google Scholar
- 11.This work was reviewed by D. C. Langreth in Nobel Symposia — Medicine and Natural Sciences, Academic Press, New York and London, Vol. 24, p. 210, 1973.Google Scholar
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