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On the quantum probability flux through surfaces
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On the quantum probability flux through surfaces
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We remark that the often ignored quantum probability current is fundamental for a genuine understanding of scattering phenomena and, in particular, for the statistics of the time and position of the first exit of a quantum particle from a given region, which may be simply expressed in terms of the current. This simple formula for these statistics does not appear as such in the literature. It is proposed that the formula, which is very different from the usual quantum mechanical measurement formulas, be verified experimentally. A full understanding of the quantum current and the associated formula is provided by Bohmian mechanics.
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Cited by 1 Pith paper
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Scattering Cross Section Formula Derived From Macroscopic Model of Detectors
The usual quantum scattering cross-section formula is derived as the actual detection distribution from imaginary-potential and repeated-measurement detector models in the far-field limit.
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