Quantum Tunneling — Resonant Double Barrier

Transfer matrix method: transmission resonances and quasi-bound states in a double-barrier potential

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Transmission T: —
Reflection R: —
Resonance: —
A double-barrier creates a quantum well between two tunnel barriers. At specific resonance energies matching quasi-bound states in the well, the transmission approaches T = 1 (perfect transmission despite classically-forbidden barriers). The transfer matrix method: M = M_barrier · M_well · M_barrier, with T = |M₁₁|⁻². This is the principle behind resonant tunneling diodes (Esaki & Tsu 1970).