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arxiv: 1403.5700 · v1 · pith:YSTN45RUnew · submitted 2014-03-22 · 🪐 quant-ph · math-ph· math.MP

Control of quantum transmission is trap free

classification 🪐 quant-ph math-phmath.MP
keywords transmissioncontrolquantumcoefficientconsidercorresponddimensionfree
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We consider manipulation of the transmission coefficient for a quantum particle moving in one dimension where the shape of the potential is taken as the control. We show that the control landscape---the transmission as a functional of the potential---has no traps, i.e., any maxima correspond to full transmission.

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