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The solution of the Dirac equation for a high square barrier

 

作者: Mark J. Thomson,   Bruce H. J. McKellar,  

 

期刊: American Journal of Physics  (AIP Available online 1991)
卷期: Volume 59, issue 4  

页码: 340-346

 

ISSN:0002-9505

 

年代: 1991

 

DOI:10.1119/1.16546

 

出版商: American Association of Physics Teachers

 

关键词: DIRAC EQUATION;S MATRIX;PAIR PRODUCTION;ANNIHILATION;SQUARE−WELL POTENTIAL;QUANTUM MECHANICS;FERMIONS;RELATIVISTIC RANGE;ANALYTICAL SOLUTION;TUNNEL EFFECT

 

数据来源: AIP

 

摘要:

The transmission of a Dirac particle through a high (V0>E+m) square electrostatic potential barrier is investigated further. As is well known, the transmission coefficient is nonzero even asV0goes to infinity. As well as reproducing the usual wave mechanics approach, a detailed fermion–antifermion multiple scattering calculation and anS‐matrix calculation are examined to provide additional insight into the problem. The origin of the curious behavior is found to be the result of pair creation and annihilation events.

 

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