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Modern Physics Letters A

ON THE COMMON EIGENVECTORS OF TWO-MODE CREATION OPERATORS AND THE CHARGE OPERATOR

Fan Hong‐Yi, John R. Klauder

Published May 10, 1994• 20 citations
Publisher

Abstract

Some comments are presented on the equivalence between Dirac’s ξ-representation of a harmonic oscillator (Ref. 5) and the eigenvectors of a creation operator derived by Fan et al. using Heitler’s contour integration form of δ-function. On the basis of this analysis the common eigenvectors of a†b† and Q=a†a−b†b, which are dual vectors of the charged coherent states of Bhaumik et al., are constructed.

DOI
10.1142/s0217732394001118

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Some comments are presented on the equivalence between Dirac’s ξ-representation of a harmonic oscillator (Ref. 5) and the eigenvectors of a creation operator derived by Fan et al. using Heitler’s contour integration form of δ-function. On the basis of this analysis the common eigenvectors of a†b† and Q=a†a−b†b, which are dual vectors of the charged coherent states of Bhaumik et al., are constructed.
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=2p=2p=2, conserved-charge parabose creation operator eigenstates are also constructed. The contour forms of the associated resolutions of unity are obtained.
THE EIGENVECTORS OF q-DEFORMED CREATION OPERATOR aq+a_q^+aq+​ AND THEIR PROPERTIES