About Statistical Mechanics in the Configuration Space ( x , v )

Abstract

The classical and quantum Statistical Mechanics is straightforwardly formulated in the configuration space ( x , v ), and an example of a system is given to make the comparison with the formulation of the Statistical Mechanics in the phase space ( x , p ). It is shown that the advantage of using configuration space for system with their interaction force depends explicitly on the velocity of the bodies. In addition, for these types of systems it is shown that their partition function can be well defined in the configuration space but it is not defined in the phase space, or they can bring about different results, bringing the possibility of experimental verification of the formulation of Statistical Mechanics in the configuration space.