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物理学报  2007 

Matrix elements and classical limit of relativistic particles in infinitely deep potential well
无穷深势阱中相对论粒子的矩阵元及其经典近似

Keywords: infinitely deep potential well,Klein-Gordon equation,Dirac equation,Heisenberg correspondence principle
无穷深势阱
,Klein-Gordon方程,Dirac方程,Heisenberg对应原理

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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.

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