Quantum Corrections to the Transport Cross Sections

By a method developed earlier, the second quantum correction to the phase shift in a collision between particles with spherically symmetric potentials is obtained. This expression, along with the classical limit and the first quantum correction developed earlier, is used to obtain the classical limit and the first and second quantum corrections to the transport cross sections Q(1) and Q(2). In these expressions the potential function is not restricted to monotonic functions; the results apply to a potential with an attractive minimum.