ON THE THOMAS-FERMI EQUATION | Zendy

Einar Hille | Zendy

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ON THE THOMAS-FERMI EQUATION

Author(s) -

Einar Hille

Publication year - 1969

Publication title -

proceedings of the national academy of sciences

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.

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