Consider a system of N distinguishable particles (in which particles can move in one dimensional segment q = 0 and q = L) in thermal equilibrium at temperature T. The single particle Hamiltonian is given by (1) The partition function of the system is given by H = 2m -a en 2mkT (2) ate (2) aln h 2mkT h where a is positive constant and L, is characteristic length. 2mkT h Las (a+1) Las+1 LaB+1 (a +1) Las 4