A SUPERINTEGRABLE MODEL WITH REFLECTIONS ON S^3 AND THE RANK TWO BANNAI-ITO ALGEBRA

Authors

  • Hendrik De Bie Ghent University
  • Vincent Xavier Genest Massachusetts Institute of Technology
  • Jean-Michel Lemay Université de Montréal
  • Luc Vinet Université de Montréal

DOI:

https://doi.org/10.14311/AP.2016.56.0166

Keywords:

Bannai-Ito algebra, Cauchy-Kovalevskaia extension, quantum superintegrable model

Abstract

A quantum superintegrable model with reflections on the three-sphere is presented. Its symmetry algebra is identified with the rank-two Bannai-Ito algebra. It is shown that the Hamiltonian of the system can be constructed from the tensor product of four representations of the superalgebra osp(1|2) and that the superintegrability is naturally understood in that setting. The exact separated solutions are obtained through the Fischer decomposition and a Cauchy-Kovalevskaia extension theorem.

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Published

2016-06-30

How to Cite

De Bie, H., Genest, V. X., Lemay, J.-M., & Vinet, L. (2016). A SUPERINTEGRABLE MODEL WITH REFLECTIONS ON S^3 AND THE RANK TWO BANNAI-ITO ALGEBRA. Acta Polytechnica, 56(3), 166–172. https://doi.org/10.14311/AP.2016.56.0166

Issue

Vol. 56 No. 3 (2016)

Section

Articles