Journal of Chemical Physics 123 , 104103 8 pages (2005)

Path Integral Computations of Tunneling Processes

I. Benjamin

Department of Chemistry, University of California, Santa Cruz, California 95064

A. Nitzan

School of Chemistry, The Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel

The application of the path-integral methodology of Chandler and Wolynes (D. Chandler and P. G. Wolynes, J. Chem. Phys. 74, 4078, 1981) to the calculation of one-electron-tunneling probabilities is revisited. We show that the evaluation of the kink free energy that is related to the tunneling splitting is associated with polymer bead distributions over acontinuous distribution of scaled barriers, which makes both the calculation and its physical interpretation relatively difficult. In particular, we find that relative to other available techniques the method converges slowly and suffers from inaccuracies associated with the finite-temperature aspect of the calculation, and that past tentative identification of the bead distribution over the barrier with aphysical pictureof a tunneling path should be reassessed.