Nuclear Cusps, Magnetic Fields and the Lavrentiev Phenomenon In Thomas-Fermi Theory

Authors

Gisèle Ruiz Goldstein, Louisiana State University
Jerome A. Goldstein, Louisiana State UniversityFollow
Chien an Lung, Tulane University

Abstract

This chapter discusses the nuclear cusps, magnetic fields and the Lavrentiev phenomenon in Thomas-Fermi theory. The function p which minimizes E is the ground state electron density in Thomas-Fermi theory corresponding to the potential V. Minimizing E(p) gives an approximation to the ground state energy and the density corresponding to the ground state wave function. The chapter mentions the Lavrentiev phenomenon aspect applicable to the results and makes further remarks. The chapter also discusses the nuclear cusp condition in Thomas–Fermi theory that gives rise to a similar phenomenon, which may also be termed a Lavrentiev phenomenon. © 1993, Academic Press Inc.

Publication Title

Mathematics in Science and Engineering

Recommended Citation

Ruiz Goldstein, G., Goldstein, J., & Lung, C. (1993). Nuclear Cusps, Magnetic Fields and the Lavrentiev Phenomenon In Thomas-Fermi Theory. Mathematics in Science and Engineering, 192 (C), 141-151. https://doi.org/10.1016/S0076-5392(08)62377-2