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Paper IPM / P / 7894  


Abstract:  
Using simultaneous shape invariance with respect to two different parameters, we introduce a pair of appropriate operators which realize shape invariance symmetry for the monomials on a halfaxis. It leads to the derivation of rotational symmetry and dynamical symmetry group H4 with infinitefold degeneracy for the lowest Landau levels. This allows us to represent the Heisenberg?Lie algebra h4 not only by the lowest Landau levels, but also by their corresponding standard coherent states.
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