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  • 1
    Electronic Resource
    Electronic Resource
    On the flux-across-surfaces theorem (1996)
    Springer
    Letters in mathematical physics 38 (1996), S. 103-116 
    Details
    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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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On the Quantum Probability Flux Through Surfaces (1997)
    Springer
    Journal of statistical physics 88 (1997), S. 967-977 
    Details
    ISSN: 1572-9613
    Keywords: Bohmian mechanics ; escape time statistics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/B:JOSS.0000015181.86864.fb
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    Paper (German National Licenses)
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