1204.1135 (E. I. Jafarov et al.)

A finite oscillator model related to sl(2|1)    [PDF]

E. I. Jafarov, J. Van der Jeugt

We investigate a new model for the finite one-dimensional quantum oscillator based upon the Lie superalgebra sl(2|1). In this setting, it is natural to present the position and momentum operators of the oscillator as odd elements of the Lie superalgebra. The model involves a parameter p (0View original: http://arxiv.org/abs/1204.1135