Flux-across-surfaces theorem for a Dirac particle
Flux-across-surfaces theorem for a Dirac particle
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狄拉克粒子的跨面通量定理
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
P. Pickl
中科院分区：
文献类型：
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作者：
D. Duerr;P. Pickl
我们考虑相对论自旋12粒子的渐近演化，即波函数满足外静势狄拉克方程的粒子。我们证明了粒子穿过探测器表面的概率收敛到这样的概率，即粒子的动量方向在探测器表面所定义的立体角内，当表面的距离为无穷大时。这将早期的非相对论结果，即所谓的跨表面通量定理，推广到相对论区域。
We consider the asymptotic evolution of a relativistic spin-12 particle, i.e., a particle whose wave function satisfies the Dirac equation with external static potential. We prove that the probability for the particle crossing a (detector) surface converges to the probability, that the direction of the momentum of the particle lies within the solid angle defined by the (detector) surface, as the distance of the surface goes to infinity. This generalizes earlier nonrelativistic results, known as flux across surfaces theorems, to the relativistic regime.