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Paraboson coherent states
Authors:R. Chakrabarti   N. I. Stoilova  J. Van der Jeugt
Affiliation:1.Department of Theoretical Physics,University of Madras,Chennai,India;2.Department of Applied Mathematics and Computer Science,Ghent University,Ghent,Belgium
Abstract:It is known that the defining relations of the orthosymplectic Lie superalgebra osp(1|2n) are equivalent to the defining (triple) relations of n pairs of paraboson operators b i ±. In particular, the “parabosons of order p” correspond to a unitary irreducible (infinite-dimensional) lowest weight representation V(p) of osp(1|2n). Recently we constructed these representations V(p) giving the explicit actions of the osp(1|2n) generators. We apply these results for the n = 2 case in order to obtain “coherent state” representations of the paraboson operators.
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