Matrix elements and classical limit of relativistic particles in infinitely deep potential well

Liang Mai-Lin; Zhang Fu-Lin; Yuan Bing

doi:10.7498/aps.56.3683

Abstract
For relativistic particles with spin-0 (satisfying the Klein-Gordon equation) and spin-1/2 (satisfying the Dirac equation) in infinitely deep potential well, matrix elements for the coordinate, momentum and the velocity operators are calculated. In the limit of large quantum numbers, these matrix elements give the corresponding classical quantities (nowbeing related quantities in special relativity) and satisfy exact classical relations. These results show that the Heisenberg correspondence principle is applicable to such relativistic systems.

Keywords:
infinitely deep potential well /

Klein-Gordon equation /

Dirac equation /

Heisenberg correspondence principle
Authors and contacts
Liang Mai-Lin,

Zhang Fu-Lin,

Yuan Bing

1.
天津大学理学院物理系,天津 300072
References

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Vol. 56, Issue 7 - 2007-04-05

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Matrix elements and classical limit of relativistic particles in infinitely deep potential well

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Matrix elements and classical limit of relativistic particles in infinitely deep potential well

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