Paraboson coherent states

نویسندگان

  • R. Chakrabarti
  • J. Van der Jeugt
چکیده

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 bi . 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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تاریخ انتشار 2008