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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/98434


    Title: Scattering Amplitudes for Multi-indexed Extensions of Solvable Potentials
    Authors: Ho, C-L;Lee, J-C;R. Sasaki
    Contributors: 淡江大學物理學系
    Keywords: Multi-indexed solvable potential;Multiple Darboux transformation;Scattering amplitude;Shape invariance
    Date: 2013-09-25
    Issue Date: 2014-08-02 22:46:56 (UTC+8)
    Publisher: Maryland Heights: Academic Press
    Abstract: New solvable one-dimensional quantum mechanical scattering problems are presented. They are obtained from known solvable potentials by multiple Darboux transformations in terms of virtual and pseudo virtual wavefunctions. The same method applied to confining potentials, e.g. Pöschl–Teller and the radial oscillator potentials, has generated the multi-indexed Jacobi and Laguerre polynomials. Simple multi-indexed formulas are derived for the transmission and reflection amplitudes of several solvable potentials.
    Relation: Annals of Physics 343, pp.115-131
    DOI: 10.1016/j.aop.2014.01.015
    Appears in Collections:[物理學系暨研究所] 期刊論文

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