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On the flux-across-surfaces theorem (1996)

Daumer, M. ; Dürr, D. ; Goldstein, S. ; [et al.]

Springer

Letters in mathematical physics 38 (1996), S. 103-116

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ISSN: 1573-0530

Keywords: 81Sxx ; 81Uxx ; scattering theory ; Bohmian mechanics ; quantum flux

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract The quantum probability flux of a particle integrated over time and a distant surface gives the probability for the particle crossing that surface at some time. We prove the free flux-across-surfaces theorem, which was conjectured by Combes, Newton and Shtokhamer (Phys. Rev. D. 11 (1975), 366), and which relates the integrated quantum flux to the usual quantum mechanical formula for the cross-section. The integrated quantum flux is equal to the probability of outward crossings of surfaces by Bohmian trajectories in the scattering regime.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00398303

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