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    題名: Scattering Amplitudes for Multi-indexed Extensions of Solvable Potentials
    作者: Ho, C-L;Lee, J-C;R. Sasaki
    貢獻者: 淡江大學物理學系
    關鍵詞: Multi-indexed solvable potential;Multiple Darboux transformation;Scattering amplitude;Shape invariance
    日期: 2014-04
    上傳時間: 2014-08-02 22:46:56 (UTC+8)
    出版者: Maryland Heights: Academic Press
    摘要: 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.
    關聯: Annals of Physics 343, pp.115-131
    DOI: 10.1016/j.aop.2014.01.015
    顯示於類別:[物理學系暨研究所] 期刊論文

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