Transmission probabilities and the Miller–Good transformation – IOPscience

Transmission through a potential barrier, and the related issue of particle production from a parametric resonance, are topics of considerable general interest in quantum physics. The authors have developed a rather general bound on quantum transmission probabilities, and recently applied it to bounding the greybody factors of a Schwarzschild black hole. In the current paper, we take a different tack—we use the Miller–Good transformation (which maps an initial Schrödinger equation to a final Schrödinger equation for a different potential) to significantly generalize the previous bound. Please see the page article level metrics in IOPscience for more information about the statistics available. Article usage data are updated once a week. Transmission through a potential barrier, and the related issue of particle production from a parametric resonance, are topics of considerable general interest in quantum physics. The authors have developed a rather general bound on quantum transmission probabilities, and recently applied it to bounding the greybody factors of a Schwarzschild black hole. In the current paper, we take a different tack—we use the Miller–Good transformation (which maps an initial Schrödinger equation to a final Schrödinger equation for a different potential) to significantly generalize the previous bound. The computer you are using is not registered by an institution with a subscription to this article. Please log in below. Find out more about For corporate researchers we can also follow up directly with your R&D manager, or the information management contact at your company. Source.


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