Scattering amplitudes for multi-indexed extensions of solvable potentials

doi:10.1016/j.aop.2014.01.015

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DC Field	Value	Language
dc.contributor.author	Ho, C. -L.	en_US
dc.contributor.author	Lee, J. -C.	en_US
dc.contributor.author	Sasaki, R.	en_US
dc.date.accessioned	2014-12-08T15:35:19Z	-
dc.date.available	2014-12-08T15:35:19Z	-
dc.date.issued	2014-04-01	en_US
dc.identifier.issn	0003-4916	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/j.aop.2014.01.015	en_US
dc.identifier.uri	http://hdl.handle.net/11536/23945	-
dc.description.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. Poschl-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. (C) 2014 Elsevier Inc. All rights reserved.	en_US
dc.language.iso	en_US	en_US
dc.subject	Multi-indexed solvable potential	en_US
dc.subject	Multiple Darboux transformation	en_US
dc.subject	Scattering amplitude	en_US
dc.subject	Shape invariance	en_US
dc.title	Scattering amplitudes for multi-indexed extensions of solvable potentials	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1016/j.aop.2014.01.015	en_US
dc.identifier.journal	ANNALS OF PHYSICS	en_US
dc.citation.volume	343	en_US
dc.citation.issue		en_US
dc.citation.spage	115	en_US
dc.citation.epage	131	en_US
dc.contributor.department	電子物理學系	zh_TW
dc.contributor.department	Department of Electrophysics	en_US
dc.identifier.wosnumber	WOS:000333544700010	-
dc.citation.woscount	2	-
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