Quantum superintegrable systems with arbitrary spin: Exact solution with deformed oscillator formalism
Department of Physics, University of Guilan, 51335-1914, Rasht, Iran
* e-mail: firstname.lastname@example.org
Revised: 25 February 2014
Accepted: 18 April 2014
Published online: 6 June 2014
In this work, we study the superintegrable systems in two-dimensional Euclidean space for particles with arbitrary spin. We show a new connection between deformed oscillator algebra and superintegrable systems with spin in the general form. Then, we easily calculate the energy spectra in an eigenvalue problem and in an appropriate matrix Fock space, by solving a system of two equations satisfied by its structure function.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2014