A finite oscillator model with equidistant position spectrum based on an extension of $\mathfrak{su}(2)$

Roy Oste, Joris Van der Jeugt

We consider an extension of the real Lie algebra $\mathfrak{su}(2)$ by introducing a parity operator $P$ and a parameter $c$. This extended algebra is isomorphic to the Bannai-Ito…