Equivalence of $q$-bosons using the exponential phase operator

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, LaTex(run twice), To appear in J. PHys. A

Scientific paper

10.1088/0305-4470/29/13/033

Various forms of the $q$-boson are explained and their hidden symmetry
revealed by transformations using the exponential phase operator. Both the
one-component and the multicomponent $q$-bosons are discussed. As a byproduct,
we obtain a new boson algebra having a shifted vacuum structure and define a
global operatal $U(1)$ gauge transformation.

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