Distribution of xp in some molecular rotational states

TL;DR

This paper analyzes the distribution of the posmom xp in molecular rotational states, revealing its similarity to harmonic oscillator momentum distributions, and introduces posmometry for spherical harmonics.

Contribution

It extends the concept of posmometry to spherical harmonics representing molecular rotational states, providing new insights into their distribution properties.

Findings

Posmometry of spherical harmonics resembles harmonic oscillator momentum distributions.

Distribution analysis applies to diatomic and spherical cage molecules.

Introduces a novel approach to studying molecular rotational states.

Abstract

Developing the analysis of the distribution of the so-called posmom xp to the spherical harmonics that represents some molecular rotational states for such as diatomic molecules and spherical cage molecules, we obtain posmometry (introduced recently by Y. A. Bernard and P. M. W. Gill, Posmom: The Unobserved Observable, J. Phys. Chem. Lett. 1(2010)1254) of the spherical harmonics and demonstrate that it bears a striking resemblance to the momentum distributions of the stationary states for a one-dimensional simple harmonic oscillator.