Tunneling time and stochastic-mechanical trajectories for the double-barrier potential

Quantum motion of particles tunneling a double barrier potential is considered by using stochastic mechanics. Stochastic-mechanical trajectories give us information about complex motion of tunneling particles that is not obtained within the framework of ordinary quantum mechanics. Using such information, we calculate the tunneling times within each of the barriers which depend on the distance between them. It is found that the stochastic-mechanical tunneling time shows better asymptotic behavior than the quantum-mechanical dwell time and presence time.

► Quantum motion of particles tunneling a double barrier potential is considered by using stochastic mechanics.
► The tunneling times for two barriers are different despite the symmetry of the double barrier potential.
► Neither the presence time nor the dwell time agrees with the tunneling time ratio calculated by stochastic mechanics.
► In comparison with tunneling times calculated by using dwell time and presence time the numerical result based on stochastic mechanics has a correct asymptotic behavior.