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 ρ( z′, z) is also generalized and a self-consistent self-reproducing kernel K ̃ (z′,z) is constructed.