An accurate few-parameter ground state wave function for the Lithium atom

Abstract

A simple, seven-parameter trial function is proposed for a description of the ground state of the Lithium atom. It includes both spin functions. Inter-electronic distances appear in exponential form as well as in a pre-exponential factor, and the necessary energy matrix elements are evaluated by numerical integration in the space of the relative coordinates. Encouragingly accurate values of the energy and the cusp parameters as well as for some expectation values are obtained.

9 pages, dedicated to Frank E Harris on the occasion of his birthday, extra references added as well as the results for expectation values

References in corpus (2)

• Ground state wave function and energy of the lithium atom
• Anharmonic oscillator and double-well potential: approximating eigenfunctions

Cited by in corpus (8)

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• Few-electron atomic ions in non-relativistic QED: the Ground state energy
• Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. I. Ground state
• Stable He${}^{-}$ can exist in a strong magnetic field
• Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. II. Spin-singlet (excited) and spin-triplet (lowest) states of the Helium sequence
• Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. III. Spin-quartet state of the Lithium sequence
• The He${}_2^{+}$ molecular ion and the He${}^{-}$ atomic ion in strong magnetic fields
• Ground state and polarization of an hydrogen-like atom near a Weyl semimetal