Variable phase equation in quantum scattering

Revista Brasileira de Ensino de Física

Nelson H.T. Lemes¹  João P. Braga²  Vitor D. Viterbo² 

[1] Universidade Federal de Alfenas;Universidade Federal de Minas Gerais;

关键词: phase equation;    scattering matrix;    phase shift;   

DOI  :  10.1590/S1806-11172014000100010

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown