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- W2034140949 abstract "In using the spectral theorem of many-body Green's function theory in order to relate correlations to commutator Green's functions, it is necessary in the standard procedure to consider the anti-commutator Green's functions as well whenever the matrix governing the equations of motion for the commutator Green's functions has zero eigenvalues. We show that a singular-value decomposition of this matrix allows one to reformulate the problem in terms of a smaller set of Green's functions with an associated matrix having no zero eigenvalues, thus eliminating the need for the anti-commutator functions. The procedure is quite general and easy to apply. It is illustrated for the field-induced reorientation of the magnetization of a ferromagnetic Heisenberg monolayer and it is expected to work for more complicated cases as well." @default.
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- W2034140949 date "2003-07-09" @default.
- W2034140949 modified "2023-10-16" @default.
- W2034140949 title "Spectral theorem of many-body Green’s function theory when there are zero eigenvalues of the matrix governing the equations of motion" @default.
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- W2034140949 doi "https://doi.org/10.1103/physrevb.68.014410" @default.
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