Abstract
The quantity is defined as the correlation energy per particle of an electron gas expressed in rydbergs. It is a function of the conventional dimensionless parameter , where is proportional to the electron density. Here is computed for small values of (high density) and found to be given by . The value of is found to be 0.0622, a result that could be deduced from previous work of Wigner, Macke, and Pines. An exact formula for the constant is given here for the first time; earlier workers had made only approximate calculations of . Further, it is shown how the next correction in can be computed. The method is based on summing the most highly divergent terms of the perturbation series under the integral sign to give a convergent result. The summation is performed by a technique similar to Feynman's methods in field theory.
- Received 14 December 1956
DOI:https://doi.org/10.1103/PhysRev.106.364
©1957 American Physical Society