β Scribed by S. A. Alexander; R. L. Coldwell
No coin nor oath required. For personal study only.
Using variational Monte Carlo, we compare the features of 118 trial wave function forms for selected ground and excited states of helium, lithium, and beryllium in order to determine which characteristics give the most rapid convergence toward the exact nonrelativistic energy. We find that fully antisymmetric functions are more accurate than are those which use determinants, that exponential functions are more accurate than are linear function, and that the Pade function is anomalously Γ‘ccurate for the two-electron atom. We also find that the asymptotic and nodal behavior of the atomic wave function is best described by a minimal set of functions.
π SIMILAR VOLUMES
The study shows how the formalism induced by the minimum mean deviation from statistical equilibrium may be effectively applied to more complex atoms to obtain trial wave functions compatible with a shell picture of the atom. The objective is not only to recover the experimental value of the ground-
xpressions are derived for matrix elements of Et he Hamiltonian operator for spin-coupled wave functions in molecular systems having an even number of electrons. Orthogonality of spatial orbitals is not assumed, and the coupling scheme can be specified at will. Relations to other methods are noted b
Anfklytic self-consistent field wave functions have been obhined for the t~it~o~-me~ stcuns in tbeir ground-state configurstions. The atomic orbit& &we bean expanded in terms of linear combinations of orbit.& from basis sets of 10 and IS Hater-type functions.