Transmission probabilities and the Miller-Good transformation

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dc.creatorBoonserm, Petarpa
dc.creatorVisser, Matt
dc.date2008-08-19
dc.date2009-01-08
dc.date.accessioned2026-07-07T12:27:29Z
dc.date.available2026-07-07T12:27:29Z
dc.descriptionTransmission 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 article we take a different tack -- we use the Miller-Good transformation (which maps an initial Schrodinger equation to a final Schrodinger equation for a different potential) to significantly generalize the previous bound.
dc.description10 pages. V2: Now 15 pages. Significantly expanded with examples and applications. Matches published version
dc.identifierhttps://arxiv.org/abs/0808.2516
dc.identifierhttp://arxiv.org/abs/0808.2516
dc.identifierJ.Phys.A42:045301,2009
dc.identifierdoi:10.1088/1751-8113/42/4/045301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215224
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleTransmission probabilities and the Miller-Good transformation
dc.typetext

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