ar X iv : 0 80 8 . 25 16 v 2 [ m at h - ph ] 8 J an 2 00 9 Transmission probabilities and the Miller – Good transformation
نویسنده
چکیده
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 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.
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ar X iv : 0 80 8 . 25 16 v 1 [ m at h - ph ] 1 9 A ug 2 00 8 Transmission probabilities and the Miller – Good transformation
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 article we take a differe...
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