Scattering amplitudes for multi-indexed extensions of solvable potentials

C. L. Ho, Jen-Chi Lee*, R. Sasaki

*此作品的通信作者

研究成果: Article同行評審

10 引文 斯高帕斯(Scopus)

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.

原文English
頁(從 - 到)115-131
頁數17
期刊Annals of Physics
343
DOIs
出版狀態Published - 1 四月 2014

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