Exactly solvable 1D model explains the low-energy vibrational level structure of protonated methane

Jonathan I. Rawlinson; Csaba Fábri; Attila G. Császár

Exactly solvable 1D model explains the low-energy vibrational level structure of protonated methane

Chemical Physics 2021-03-30 v2 Quantum Physics

Authors: Jonathan I. Rawlinson , Csaba Fábri , Attila G. Császár

Abstract

A new one-dimensional model is proposed for the low-energy vibrational quantum dynamics of CH5+ based on the motion of an effective particle confined to a 60-vertex graph ${\Gamma}_{60}$ with a single edge length parameter. Within this model, the quantum states of CH5+ are obtained in analytic form and are related to combinatorial properties of ${\Gamma}_{60}$ . The bipartite structure of ${\Gamma}_{60}$ gives a simple explanation for curious symmetries observed in numerically exact variational calculations on CH5+.

Keywords

ch5+ low-energy vibrational levels one-dimensional model 60-vertex graph analytic quantum states combinatorial properties bipartite structure

Cite

@article{arxiv.2102.06424,
  title  = {Exactly solvable 1D model explains the low-energy vibrational level structure of protonated methane},
  author = {Jonathan I. Rawlinson and Csaba Fábri and Attila G. Császár},
  journal= {arXiv preprint arXiv:2102.06424},
  year   = {2021}
}

Exactly solvable 1D model explains the low-energy vibrational level structure of protonated methane

Abstract

Keywords

Cite

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