5 citations · 8 across the 7 of their papers we have counts for
7 papers
A semiclassical theory of the chemical potential for the Atomic Elements
Bernard J. Laurenzi
The chemical potiential for the ground states of the atomic elements have been calculated within the semiclassical approximation The present work closely follows Schwinger and Engl…
Fourier Transform of some irrational integrands
Bernard J. Laurenzi
Fourier sine transforms containing irrational integrands are presented. Explicit closed form expressions are shown to be related to Lommel functions and in special cases to the Fre…
A Generalization of Fourier Series occurring in Atomic Theory
Bernard J. Laurenzi
A number of the Fourier Series which occur in the theory of the semi-classical atom due to Englert and Schwinger are generalized and presented.
Special values of the Lommel functions and associated integrals
Bernard J. Laurenzi
Special values of the Lommel functions allow the calculation of Fresnel like integrals. These closed form expressions along with their asymptotic values are reported.
Integrals containing the logarithm of the Airy Function Ai'(x)
Bernard J. Laurenzi
Integrals occurring in Thomas-Fermi theory which contains the logarithm of the Airy function Ai'(x) have been obtained in terms of analytical expressions.
Logarithmic Integrals of Airy Functions
Bernard J. Laurenzi
Integrals arising in the Thomas-Fermi (TF) theory of atomic structure and which contain logarithms of the Airy functions have been expressed in terms of the incomplete Bell polynom…