For the case of one-dimensional system with the boundary condition y ( 0 ) = 0 the density of states obtained from the Gutzwiller formula is related to the inverse of the potential of the classical system by d 1 / 2 d x 1 / 2 V − − 1 ( x ) = 2 π π d N ( x ) d x here d N ( x ) d x is the density of states and V(x) is the classical potential of the particle, the half derivative of the inverse of the potential is related to the density of states as in the Wu-Sprung potential.