2013/08/26 by Quanhui Liu, Q. H. Liu · 6 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Angular momentum #Classical mechanics #Diatomic molecule #Distribution (mathematics) #Harmonic #Harmonic oscillator #Harmonic potential #Harmonics #Mathematical analysis #Mathematics #Molecular Spectroscopy and Structure #Molecule #Momentum (technical analysis) #Observable #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Simple (philosophy) #Simple harmonic motion #Spherical harmonics #physics.chem-ph #quant-ph
paper · pdf · doi:10.1016/j.physleta.2014.01.025
published in Physics Letters A 378(10), 785-789 (Elsevier BV) · 8 pages, 3 figures
arxiv created 2013/08/26 · openalex publication_date 2014/01/22 · arxiv updated 2014/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.