scholarly journals Single-particle Green’s functions of the Calogero-Sutherland model at couplings λ=1/2, 1, and 2

1995 ◽  
Vol 52 (12) ◽  
pp. 8729-8746 ◽  
Author(s):  
M. R. Zirnbauer ◽  
F. D. M. Haldane
Keyword(s):  
Single Particle ◽  
Green's Functions ◽  
Green’S Functions ◽  
Sutherland Model

MODIFIED HUBBARD DECOUPLING FOR THE EMERY MODEL

1995 ◽  
Vol 09 (25) ◽  
pp. 1635-1641
Author(s):  
LEW GEHLHOFF
Keyword(s):  
Single Particle ◽  
Green's Functions ◽  
Green’S Functions ◽  
Equation Of Motion ◽  
Higher Order ◽  
Exact Results ◽  
Emery Model ◽  
Spin Degeneracy ◽  
Motion Method ◽  
Large Spin

We consider a version of the Emery model with large spin degeneracy N and use the X-operator formulation and the equation-of-motion method to determine the single-particle Green’s functions. We propose a modified Hubbard decoupling technique for the higher-order Green’s functions appearing in this equation of motion. By applying it to the above model in the limit N→∞ we obtain the exact results.

Evaluation of a class of integrals occurring in mathematical physics via a higher order generalization of the principal value

1989 ◽  
Vol 67 (8) ◽  
pp. 759-765 ◽  
Author(s):  
K. T. R. Davies ◽  
R. W. Davies
Keyword(s):  
Single Particle ◽  
Numerical Evaluation ◽  
Green's Functions ◽  
Green’S Functions ◽  
Simple Algorithm ◽  
Mathematical Physics ◽  
Higher Order ◽  
Divergent Integral ◽  
Principal Value

The notion of the principal value of an integral is generalized to treat higher order singularities. The principal value of an integral can be considered the "convergent part" of a divergent integral, an interpretation that is almost trivial for simple poles, but more meaningful for higher order poles. Application of this concept leads to a simple algorithm that may be applied to the evaluation of a class of integrals arising in mathematical physics. Many of these integrals frequently occur in the analytic and numerical evaluation of folding functions arising from the product of single-particle Green's functions.

scholarly journals Single-particle properties from Kohn–Sham Green's functions

2005 ◽  
Vol 607 (3-4) ◽  
pp. 259-266 ◽  
Author(s):  
Anirban Bhattacharyya ◽  
R.J. Furnstahl
Keyword(s):  
Single Particle ◽  
Green's Functions ◽  
Green’S Functions ◽  
Particle Properties
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