A system of N classical ultrarelativistic particles, in a con- tainer of volume V , at temperature T , is given by the Hamil- tonian

A system of N classical ultrarelativistic particles, in a container of volume V , at temperature T , is given by the Hamiltonian

where s is a positive constant. Obtain an expression for the canonical partition function. Calculate the entropy per particle as a function of temperature and specific volume. What is the expression of the specific heat at constant volume?