A physical application of $g$-function

TL;DR

This paper explores a physical application of the $g$-function, derived from molecular beam magnetic resonance, linking it to dipole interactions in polar molecules and connecting it to the Gamma function.

Contribution

It introduces a physical example of the $g$-function based on dipole-dipole interactions, expanding its application in molecular physics.

Findings

Derived an integral representation of the $g$-function from molecular resonance data.

Connected the $g$-function to dipole-dipole interactions in polar molecules.

Linked the $g$-function to the Gamma function as a special case.

Abstract

We investigated an integral representation of a complex function which was obtained from the molecular beam magnetic resonance, and named it as `$g$- function' because it was connected with Gamma function as a special case. We introduced a physical example of the $g$-function from a dipole-dipole interaction of rigid polar molecules.