Operator realizations of the q-deformed Heisenberg algebra

Leonardo Falco, R. Mignani

Mohammed Daoud A, Jamila Douari, Y. Hassouni

A. D. Jannussis, A. Leodaris, R. Mignani

Wang Fabo, Kuang Le-Man

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.

Jian-zu Zhang A B

The non-perturbation and perturbation structures of the q-deformed probability currents are studied. According to two ways of realizing the q-deformed Heisenberg algebra by the undeformed operators, the perturbation structures of two q-deformed probability currents are explored in detail. Locally the structures of two perturbation q-deformed probability currents are different, one is explicitly potential dependent; the other is not. But their total contributions to the whole space are the same.

Jian-Zu Zhang

The non-perturbation and perturbation structures of the q-deformed probability currents are studied. According to two ways of realizing the q-deformed Heisenberg algebra by the undeformed operators, the perturbation structures of two q-deformed probability currents are explored in detail. Locally the structures of two perturbation q-deformed probability currents are different, one is explicitly potential dependent; the other is not. But their total contributions to the whole space are the same.