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Given a birth-death process on N with semigroup P_t and a discrete gradient D depending on a positive weight u, we establish intertwining relations of the form D P_t = Q_t D, where Q_t is the Feynman...
We show that for all q in the interval (−1, 1), the Fock repre-sentation of the q-commutation relations can be unitarily embedded into the Fock representation of the extended Cuntz algebra. In p...
We study three aspects of commutation classes of reduced decompo-sitions: the number of commutation classes, the structures of their corre-sponding graphs, and the enumeration of subnetworks, a concep...
We propose an experiment to directly prove the commutation relation between bosonic annihilation and creation operators, based on the recent experimental success in single-photon subtraction and addit...

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