Quantum Evolution Of Heavy Quark In Quark Gluon Plasma

Currently most of the approaches used in the calculation of thermalization of a heavy quark in thermal bath consider only limited quantum effects due to the difficulties in the quantum description of open systems.In this article a quantum approach is introduced to calculate the thermalization of a heavy quark in quark gluon plasma(QGP)based on Schr?dinger equation.The thermal medium is modeled as a classical gluon background field and we adopt the following picture:a heavy quark experiences random kicks of gluons in the thermal bath after heavy-ion collisions.Considering the decoherence of density matrix and the random property of an open system,we give each component of Hamiltonian in momentum space a random phase.In order to understand the process of thermalization without considering each individual gluon in the thermal bath,we adopt an approximation based on Boltzmann distribution and the quantum field theory.Our model contains two parameters:correlation time?_cand correlation momentum p_c.We determine their values according to the fluctuation-dissipation theorem.