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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