The problem of determining the single particle energy in a mean-field description of interacting particles is considered. It is shown that the single particle energy must satisfy two consistency conditions, and a general procedure for obtaining the single particle energy from the pair energy is proposed. Interacting dipolar systems are examined, current approaches in the literature are discussed, and the usefulness of the proposed method is demonstrated.
American Journal of Physics
Copyright 2002 American Association of Physics Teachers. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Association of Physics Teachers. The following article appeared in Am. J. Phys. 70, 433 (2002) and may be found at http://dx.doi.org/10.1119/1.1446860.
Palffy-Muhoray, Peter (2002). The Single Particle Potential in Mean-Field Theory. American Journal of Physics 70(4) 433-437. doi: 10.1119/1.1446860. Retrieved from https://oaks.kent.edu/cpippubs/359