Scattering by singular potentials in coupled Schrodinger equations
LOW TEMPERATURE PHYSICS(2022)
摘要
Scattering in pairs of one-dimensional time-independent Schrodinger equations coupled via singular potentials are considered. For potentials given by Dirac's delta function reflected and transmitted waves of the two modes as well as a bound state is found by integration. For potentials given by the derivative of Dirac's delta function, resonant reflection and transmission occur for a discrete set of amplitudes of the scattering potential. These results depend on the applied regularization.
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关键词
one-dimensional two-mode quantum systems,singular potentials,resonant tunneling
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