Ragavachariar PARTHASARATHY
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.