In this paper, we construct the eigenstate of q -deformed creation operator a † by using the contour integral representation of δ function. Some of its properties are presented.
THE EIGENVECTORS OF q-DEFORMED CREATION OPERATOR aq+ AND THEIR PROPERTIES
Eigenstates of the parabose and parafermi creation operators are constructed. In the Dirac contour representation, the parabose eigenstates correspond to the dual vectors of the parabose coherent states. In order p=2, conserved-charge parabose creation operator eigenstates are also constructed. The contour forms of the associated resolutions of unity are obtained.