Abstract
The problem of finding the eigenvalues and eigenfunctions of a Hamiltonian H = H o + H 1 can be solved in three steps: 1) calculate the Green’s function G o(z) corresponding to H o ; 2) express G(z) as a perturbation series in terms of G o(z) and H 1, where G(z) is the Green’s function associated with H; and 3) extract from G(z) information about the eigenvalues and eigenfuctions of H.
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Reference
A.L. Fetter, J.D. Walecka: Quantum Theory of Many-Particle Systems ( McGraw-Hill, New York 1971 )
L.I. Schiff: Quantum Mechanics, 2nd ed. (McGraw-Hill, New York 1955 )
L.D. Landau, E.M. Lifshitz: Quantum Mechanics (Addison-Wesley, Reading, Mass. 1958 )
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© 1983 Springer-Verlag Berlin Heidelberg
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Economou, E.N. (1983). 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/10.1007/978-3-662-02369-3_4
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DOI: https://doi.org/10.1007/978-3-662-02369-3_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12266-1
Online ISBN: 978-3-662-02369-3
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