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

Details A finite oscillator model related to sl(2|1) A finite oscillator model related to sl(2|1)

2012-04-05

arxiv.org/abs/1204.1135v1

Physics

Mathematical Physics

Scientific paper

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 (0

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