Noncommutative Harmonic Oscillator at Finite Temperature: A Path   Integral Approach
  We use the path integral approach to a two-dimensional noncommutative harmonic oscillator to derive the partition function of the system at finite temperature. It is shown that the result based on the Lagrangian formulation of the problem, coincides with the Hamiltonian derivation of the partition function. 
A. Jahan
hep-th