Variable phase equation in quantum scattering

This paper presents the derivation and applications of the variable phase equation for single channel quantum scattering. The approach was first presented in 1933 by Morse and Allis and is based on a modification of the Schrödinger equation to a first order differential equation, appropriate to the...

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Main Authors:	Vitor D. Viterbo, Nelson H.T. Lemes, João P. Braga
Format:	Article
Language:	Portuguese
Published:	Sociedade Brasileira de Física
Series:	Revista Brasileira de Ensino de Física
Subjects:	phase equation scattering matrix phase shift
Online Access:	http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172014000100010&lng=en&tlng=en

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spelling	doaj-aacadf97bc8c4bba9c3c6b3b7ceb42692020-11-25T03:37:02ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-11171806-912636110.1590/S1806-11172014000100010S1806-11172014000100010Variable phase equation in quantum scatteringVitor D. Viterbo0Nelson H.T. Lemes1João P. Braga2Universidade Federal de Minas GeraisUniversidade Federal de AlfenasUniversidade Federal de Minas GeraisThis paper presents the derivation and applications of the variable phase equation for single channel quantum scattering. The approach was first presented in 1933 by Morse and Allis and is based on a modification of the Schrödinger equation to a first order differential equation, appropriate to the scattering problem. The dependence of phase shift on angular momentum and energy, together with Levinson's theorem, is discussed. Because the variable phase equation method is easy to program it can be further explored in an introductory quantum mechanics course.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172014000100010&lng=en&tlng=enphase equationscattering matrixphase shift
collection	DOAJ
language	Portuguese
format	Article
sources	DOAJ
author	Vitor D. Viterbo Nelson H.T. Lemes João P. Braga
spellingShingle	Vitor D. Viterbo Nelson H.T. Lemes João P. Braga Variable phase equation in quantum scattering Revista Brasileira de Ensino de Física phase equation scattering matrix phase shift
author_facet	Vitor D. Viterbo Nelson H.T. Lemes João P. Braga
author_sort	Vitor D. Viterbo
title	Variable phase equation in quantum scattering
title_short	Variable phase equation in quantum scattering
title_full	Variable phase equation in quantum scattering
title_fullStr	Variable phase equation in quantum scattering
title_full_unstemmed	Variable phase equation in quantum scattering
title_sort	variable phase equation in quantum scattering
publisher	Sociedade Brasileira de Física
series	Revista Brasileira de Ensino de Física
issn	1806-1117 1806-9126
description	This paper presents the derivation and applications of the variable phase equation for single channel quantum scattering. The approach was first presented in 1933 by Morse and Allis and is based on a modification of the Schrödinger equation to a first order differential equation, appropriate to the scattering problem. The dependence of phase shift on angular momentum and energy, together with Levinson's theorem, is discussed. Because the variable phase equation method is easy to program it can be further explored in an introductory quantum mechanics course.
topic	phase equation scattering matrix phase shift
url	http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172014000100010&lng=en&tlng=en
work_keys_str_mv	AT vitordviterbo variablephaseequationinquantumscattering AT nelsonhtlemes variablephaseequationinquantumscattering AT joaopbraga variablephaseequationinquantumscattering
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Variable phase equation in quantum scattering

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