Algebraic theory of endohedrally confined diatomic molecules: Application to H2@C60

  title={Algebraic theory of endohedrally confined diatomic molecules: Application to H2@C60},
  author={Lorenzo Fortunato and Francisco P{\'e}rez-Bernal},
  journal={Physical Review A},
A simple and yet powerful approach for modeling the structure of endohedrally confined diatomic molecules is introduced. The theory, based on a $\mathrm{u}(4)\ensuremath{\bigoplus}\mathrm{u}(3)$ dynamical algebra, combines $\mathrm{u}(4)$, the vibron model dynamical algebra, with a $\mathrm{u}(3)$ dynamical algebra that models a spherically symmetric three-dimensional potential. The first algebra encompasses the internal rotovibration degrees of freedom of the molecule, while the second takes… 

Figures and Tables from this paper

Confined Quantum Molecular Degrees of Freedom

Motivated by recent experimental measurements of the degeneracy lifting of the rotational ground state of molecular ortho-H2 confined inside the fullerene cage C60 and, more generally, motivated by

Applications of nuclear physics to a wider context: from molecules to stars passing through hypernuclei

In this contribution I will review some of the researches that are currently being pursued in Padova (mainly within the In:Theory and Strength projects), focusing on the interdisciplinary

A tale of two allotropes

  • F. Pérez-BernalL. Fortunato
  • Physics
    Symmetries and Order: Algebraic Methods in Many Body Systems: A symposium in celebration of the career of Professor Francesco Iachello
  • 2019



Algebraic theory of molecules

1. The Wave Mechanics of Diatomic Molecules 2. Summary Elements of Algebraic Theory 3. Mechanics of Molecules 4. Three-Body Algebraic Theory 5. Four-Body Algebraic Theory 6. Many-Body Algebraic

Angular Momentum in Quantum Mechanics

This book offers a concise introduction to the angular momentum, one of the most fundamental quantities in all of quantum mechanics. Beginning with the quantization of angular momentum, spin angular

Lie Algebras and Applications

Basic Concepts.- Semisimple Lie Algebras.- Lie Groups.- Lie Algebras and Lie Groups.- Homogeneous and Symmetric Spaces (Coset Spaces). - Irreducible Bases (Representations).- Casimir Operators and

Fullerenes , Nanotubes and Carbon Nanostructures

Taylor & Francis makes every effort to ensure the accuracy of all the information (the “Content”) contained in the publications on our platform. However, Taylor & Francis, our agents, and our


  • 134, 054507
  • 2011


  • 130, 081103
  • 2009


Course Description: This course is designed to provide a basic introduction to some of the major philosophical traditions of China, India, and Japan. In this introduction, we will read a variety of