Optimal Slater-determinant approximation of fermionic wave functions

Fermionic Wave Functions on Unordered Configurations

Quantum mechanical wave functions of N identical fermions are usually represented as anti-symmetric functions of ordered configurations. Leinaas andMyrheim [14] proposed how a fermionic wave function can be represented as a function of unordered configurations, which is desirable as the ordering is artificial and unphysical. In this approach, the wave function is a cross-section of a particular...

Optimal Approximation of Functions

Analytic value of the atomic three-electron correlation integral with Slater wave functions.

while in Eq. ~42! of Ref. @1#, line 8 should be (w12w2 1w3) instead of (w12w21w3) . With these two changes, both equations are now invariant under interchange of the nonlinear parameters w1 and w3 , as is required by the symmetry of the electron interaction operator. Harris @2# has shown that the formulas of Remiddi are equivalent to the older, more general formulas of Fromm and Hill @3# in the...

APPROXIMATION OF 3D-PARAMETRIC FUNCTIONS BY BICUBIC B-SPLINE FUNCTIONS

In this paper we propose a method to approximate a parametric 3 D-function by bicubic B-spline functions

Generalized matrix functions, determinant and permanent

In this paper, using permutation matrices or symmetric matrices, necessary and sufficient conditions are given for a generalized matrix function to be the determinant or the permanent. We prove that a generalized matrix function is the determinant or the permanent if and only if it preserves the product of symmetric permutation matrices. Also we show that a generalized matrix function is the de...