Abstract
In Chap. 23, it was shown that in second-quantization formalism observables are formulated in terms of field operators. In a perturbative expansion, a quantity is given as a series of successive powers of the perturbation Hamiltonian. This implies products of increasing numbers of field operators. Wick–Matsubara theorems deal exactly with such products. The Wick theorem is an operator identity and is useful in particular to find the electronic properties of a many-body system. The Matsubara version of the theorem deals with equilibrium averages and is particularly useful to study the dynamical evolution of electron GFs. Wick–Matsubara theorems are the basic tools for the definition and use of Feynman graphs.
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© 2010 Springer-Verlag Berlin Heidelberg
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Jacoboni, C. (2010). Wick–Matsubara Theorems. In: Theory of Electron Transport in Semiconductors. Springer Series in Solid-State Sciences, vol 165. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10586-9_25
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DOI: https://doi.org/10.1007/978-3-642-10586-9_25
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