Abstract
A method is derived for finding lower bounds to the energy levels of the Schrödinger equation. This method is applied to the helium atom. The best lower bounds thus obtained are and atomic units for the energies and , respectively. If our lower bound for is used together with the best published values of and of the ground state, a rigorous lower bound -2.9037474 atomic units is found for .
- Received 12 May 1960
DOI:https://doi.org/10.1103/PhysRev.120.144
©1960 American Physical Society