Summary
The problem of finding the eigenvalues and eigenfunctions of a Hamiltonian ℌ = ℌ0 + ℌ1 can be solved in three steps: 1) Calculate the Green’s function G0(z) corresponding to ℌ0. 2) Express G(z) as a perturbation series in terms of G0(z) and ℌ1, where G(z) is the Green’s function associated with ℌ. 3) Extract from G(z) information about the eigenvalues and eigenfunctions of ℌ.
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A. L. Fetter and J. D. Walecka. Quantum Theory of Many-Particle Systems. McGraw-Hill, New York, 1971.
P. Sheng. Introduction to Wave Scattering, Localization and Mesoscopic Phenomena. Academic, San Diego, 1995.
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© 2006 Springer-Verlag Berlin Heidelberg
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(2006). Green’s Functions and Perturbation Theory. In: Green’s Functions in Quantum Physics. Springer Series in Solid-State Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28841-4_4
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DOI: https://doi.org/10.1007/3-540-28841-4_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28838-1
Online ISBN: 978-3-540-28841-1
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