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Scattering from a nonsymmetric potential in one dimension as a coupled‐channel problem

 

作者: Y. Nogami,   C. K. Ross,  

 

期刊: American Journal of Physics  （AIP Available online 1996）
卷期: Volume 64, issue 7  

页码: 923-928

 

ISSN:0002-9505

 

年代: 1996

 

DOI:10.1119/1.18123

 

出版商: American Association of Physics Teachers

 

关键词: COUPLED CHANNEL THEORY;POTENTIAL SCATTERING;PARTIAL WAVES;PHASE SHIFT;TRANSMISSION;REFLECTION;S MATRIX;SCHROEDINGER EQUATION;03.80;03.65

 

数据来源: AIP

 

摘要:

We study the partial‐wave description of scattering of a particle from a one‐dimensional potential in quantum mechanics. There are two partial waves, with even and odd parity. They are decoupled if the potentialV(x) is symmetric, i.e.,V(x)=V(−x). IfV(x)≠V(−x), however, the two partial waves are coupled. This coupled‐channel problem can be handled in terms of two eigenphases and a mixing parameter. This method enables us to shed new light on the transmission and reflection probabilities at threshold.

 

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