The Institute of Mathematical Sciences,

CPT Campus, Taramani Post,

Chennai 600 113, INDIA

E-mail: sarathy@imsc.res.in

**A diagonal representation of the quantum density matrix
using q-boson oscillator coherent states**

**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 r(z¢,z) is also generalized and a self-consistent self-reproducing kernel $\bar{K}(z',z)$ is constructed.