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- W1973502579 abstract "This work is motivated by the desire to develop a method that allows for easy and accurate calculation of complex resonances of a one-dimensional Schrödinger's equation whose potential is a low-energy well surrounded by a thick barrier. The resonance is calculated as a perturbation of the bound state associated with a barrier of infinite thickness. We show that the corrector to the bound-state energy is exponentially small in the barrier thickness. A simple computational strategy that exploits this smallness is devised and numerically verified to be very accurate. We also provide a study of high-frequency resonances and show how they can be approximated. Numerical examples are given to illustrate the main ideas in this work." @default.
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- W1973502579 date "2013-01-01" @default.
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- W1973502579 title "Resonances of a Potential Well with a Thick Barrier" @default.
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- W1973502579 doi "https://doi.org/10.1137/120883694" @default.
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