Selective Resonance Three-Row Scan - Quantum Mechanics: Waves, Spin, and Tunneling Step by Step

Three pulse values probe two nearby transitions, firing only the gap they exactly match. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A pulse tuned to the target skips the neighbor

Two nearby transitions have gaps 3/4 and 1/2. A pulse matching the target gap leaves the neighbor untouched.

\text{pulse}=\frac{3}{4}=\Delta E_{\text{target}},\quad \text{pulse}\ne\Delta E_{\text{neighbor}}

Three pulses probe two nearby transitions selectively

The same two gaps are tested against three pulse values. Only a pulse that exactly equals one gap fires that transition; the other gap stays off unless the pulse matches it instead.

\begin{array}{c|c|c}\text{pulse}&\text{target}&\text{neighbor}\\\frac{3}{4}&\text{matched}&\text{off}\\\frac{1}{2}&\text{off}&\text{matched}\\\frac{1}{4}&\text{off}&\text{off}\\\end{array}

A pulse between both gaps fires neither transition

A pulse of 1/4 matches neither exact gap, so this model marks both transitions off. Selectivity means an exact match is required, not just a nearby value.

\text{pulse}\ne\Delta E_{\text{target}},\quad \text{pulse}\ne\Delta E_{\text{neighbor}}