In this paper, we introduce unitary and Hermitian phase-difference ope
rators for the two modes of the electromagnetic field in the q-deforme
d case. The q-creation and annihilation operators of phase-difference
quanta are given, and the algebraic properties of some operators in ph
ase space are discussed, The phase-difference properties of two-mode q
-coherent states are investigated. (C) 1997 American Institute of Phys
ics.