Equivalence of qq-bosons using the exponential phase operator

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