Multichannel scattering of a particle in a quantum wire of cylindrical symmetry View Full Text


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Article Info

DATE

2011-02

AUTHORS

D. M. Sedrakian, E. M. Kazaryan, L. R. Sedrakian

ABSTRACT

The Schrödinger equation for a scattering particle in a quantum wire is considered. We discuss two geometrical forms of cross-section of the wire: the rectangular section and the cylindrical one. It is shown that scattering of the particle on an arbitrary potential V = V (x, y, z,), given in the wire, can be considered as a multichannel scattering, where the index of the channel coincides with the index which determines energy levels of the confined transverse motion of the particle. A method for determination of the amplitudes of transmission Ti and reflection Ri in the case of multichannel scattering is proposed. The case of two-channel scattering is considered in detail and a method for determination of the scattering amplitudes T1, T2 and R1, R2 is proposed. More... »

PAGES

11-16

References to SciGraph publications

  • 2009-12. Immersing method for the multichannel scattering problem in JOURNAL OF CONTEMPORARY PHYSICS (ARMENIAN ACADEMY OF SCIENCES)
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.3103/s1068337211010038

    DOI

    http://dx.doi.org/10.3103/s1068337211010038

    DIMENSIONS

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