Thermodynamics of a system of particles with Bateman-Like Hamiltonian in noncommutative plane

We consider a system of N particles in moyal plane with Bateman-Like Hamiltonian and study the thermodynamical properties of such a system by finding the partition function, internal energy and etc. Specially we study two limiting cases: one of them is the case when the noncommutative parameter ?? tends to zero and the other one is the case when ?? parameter tends to zero.