Abstract
We construct explicitly even and odd q-coherent states. These q-coherent states are introduced in terms of the q-functions defined in the paper. It is shown that the even and odd q-coherent states form a kind of representations of the q-deformed Heisenberg-Weyl algebra which is realized in the form of matrix q-differential operators in the even and odd q-coherent state space. We also analyse some different between the even and odd q-CSs and the usual even and odd CSs.
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