Relativistic thermodynamics of a quantum system

For thermodynamic quantities, different relativistic transformations have been suggested by Plank-Einstein, Ott and Landsberg. Using statistical mechanics and a simple quantum system, the consistency of all known relativistic transformations has been discussed. Using this method, the invariance of entropy yields new transformation for pressure and temperature. These transformations give consistent result for a spin-less mono-atomic gas particles and black-body.