Calculation of the Quantum-Mechanical Tunneling in Bound Potentials
Figure 6
Exact and approximate transmission probabilities (a) and thermal rate constants (b) for the piecewise quadratic double well of Section 3.3. The results obtained in the parabolic approximation to the barrier (triangles/dot-dash) are in close agreement with the QM results (circles/solid line), compared to the quasiclassical WKB results (squares/dash). The vertical dashes in (a) mark positions of 6 lowest energy levels ( and are indistinguishable on the plot). The insert in (b) shows the thermal rate constant on the logarithmic scale. The temperature is given in the units of the barrier height [], where .
