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Intertwining and commutation relations for birth-death processes
commutation relations birth-death processes
2010/11/15
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...
Exactness of the Fock space representation of the q-commutation relations
Exactness Fock space representation q-commutation relations
2010/11/29
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...
Reduced decompositions and commutation classes
Reduced decompositions commutation classes
2010/11/30
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...
Scheme for proving the bosonic commutation relation using single-photon interference
Scheme bosonic commutation relation single-photon interference
2010/4/8
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...