Open AccessON THE THOMAS-FERMI EQUATION
Author(s) -
Einar Hille
Publication year - 1969
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.62.1.7
Subject(s) - class (philosophy) , convergence (economics) , bounded function , series (stratigraphy) , variable (mathematics) , mathematics , point (geometry) , fermi gamma ray space telescope , mathematical analysis , physics , computer science , quantum mechanics , geometry , paleontology , artificial intelligence , economics , biology , economic growth
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.