ON THE THOMAS-FERMI EQUATION*

  1. Einar Hille
  1. UNIVERSITY OF NEW MEXICO, ALBUQUERQUE

Abstract

A study has been made of some mathematical aspects of the Thomas-Fermi equation. This is a preliminary report on the results obtained, including (1) convergence of relevant series, (2) existence of unbounded solutions, (3) existence of solutions having an arbitrary branch point, (4) determination of a class of solutions bounded for large values of the variable, and (5) determination of a class of solutions unbounded for small values.

Footnotes

  • ↵ * This research was supported by National Science Foundation grant GP 8856.

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  1. PNAS 1969-01 vol. 62 no. 1 7-10
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