Conservation of the spectral moments in the n-pole approximation

Details Conservation of the spectral moments in the n-pole approximation Conservation of the spectral moments in the n-pole approximation

1998-03-23

arxiv.org/abs/cond-mat/9803276v1

Physics Letters A 249, 231 (1998)

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, RevTeX

Scientific paper

10.1016/S0375-9601(98)00728-2

A formulation of the Green's function method is presented in the n-pole approximation. Without referring to a specific model we give a general scheme of calculations that easily permits the computation of the "single-particle" Green's function in terms of the energy matrix. A theorem is proved which states that the moments of the spectral density function are conserved up to the order 2(n-l+1), where l is the order of the composite field. A comparison with the spectral density approach is also discussed.

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