Schwinger Representation for the Symmetric Group: Two explicit constructions for the Carrier Space

Physics – Quantum Physics

Scientific paper

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Latex, 6 pages

Scientific paper

10.1016/j.physleta.2008.02.071

We give two explicit construction for the carrier space for the Schwinger
representation of the group $S_n$. While the first relies on a class of
functions consisting of monomials in antisymmetric variables, the second is
based on the Fock space associated with the Greenberg algebra.

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