COMPUTATION OF 2ND-ORDER ENERGIES USING A REFERENCE SPECTRUM EULER FUNCTION

We compute the Euler Function which appears in the evaluation of second order energies of Fermi Liquids for the case where the single particle energies are given by a reference spectrum approximation, namely ε{lunate}p(k) = h {combining short solidus overlay}2k2 2mp* + Δp (with a similar expression for hole energies). It is found that the Euler Function for the case mp* = mh* but Δp ≠ Δh can be obtained analytically, and is a useful approximation to the exact Euler Function. © 1979.