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math-ph2012★ 11 cited
A finite oscillator model related to sl(2|1)
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 mom…
math-ph2012★ 9 cited
Deformed su(1,1) Algebra as a Model for Quantum Oscillators
Elchin I. Jafarov, Neli I. Stoilova, Joris Van der Jeugt
The Lie algebra can be deformed by a reflection operator, in such a way that the positive discrete series representations of can be extend…