Quantum Tunneling — Resonant Double Barrier & Dwell Time

A particle of energy E tunnels through two rectangular barriers. Transfer matrix gives exact transmission T(E). At resonant energies (quasi-bound states in well), T=1: perfect transmission! The dwell time τ_d = dφ/dE diverges at resonance — Eisenbud-Wigner-Smith effect.

Transmission T(E):  |  Reflection R:  |  Phase velocity delay  |  Hartman effect: τ independent of barrier width