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A Diagonal Representation of Quantum Density Matrix Using q-Boson Oscillator Coherent States

arXiv:math/0208128 · doi:10.1016/S0375-9601(02)01356-7

Abstract

A q-analogue of Sudarshan's diagonal representation of the Quantum Mechanical density matrix is obtained using q-boson coherent states. Earlier result of Mehta and Sudarshan on the self reproducing property of rho(z',z) is also generalized and a self-consistent self-reproducing kernel {K-tilde}(z',z) is constructed.

9 Pages, Latex version