Quantum-radiation spectra of relativistic particles derived by the correspondence principle.
Quantum-radiation spectra of relativistic particles derived by the correspondence principle.
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通过对应原理推导出的相对论粒子的量子辐射光谱。
DOI：
10.1103/physreva.43.6032
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发表时间：
1991
期刊：
影响因子：
--
通讯作者：
Lindhard
中科院分区：
文献类型：
--
作者：
Lindhard
众所周知，超相对论电子在单晶中几乎平行于轴运动时，会发出包含高能量子的非常强烈的辐射。辐射光谱与过强磁场中的同步辐射光谱有关。后者的光谱以前已经计算的量子微扰理论，并大大减少了相应的经典光谱相比。应用对应原理，证明了对于自旋为零的粒子，通过对频率变量的简单修改，可以从经典谱精确地得到完整的量子谱。该结果适用于任意的外部场和相对于角分布，极化，和频率分布。与以前的计算同步加速器的情况下的协议进行了验证。对于自旋为1/2的粒子，量子频谱可以用自旋为零的粒子的经典辐射来表示。这些结果可能有助于我们理解超相对论粒子的辐射。
It is known that ultrarelativistic electrons, when moving nearly parallel to an axis in a single crystal, will emit very intense radiation containing high-energy quanta. The radiation spectra are connected to synchrotron spectra in excessively strong magnetic fields. The latter spectra have previously been calculated by quantum perturbation theory, and are much reduced compared to the corresponding classical spectra. By application of the correspondence principle, it is shown that, for spin-zero particles, the complete quantum spectrum is obtained exactly from the classical spectrum by a simple modification of the frequency variable. The result holds for arbitrary external fields and with respect to angular distribution, polarization, and frequency distribution. Agreement with previous calculations of the synchrotron case is verified. For spin-1/2 particles the quantum frequency spectrum can be expressed with satisfactory accuracy by the classical radiation of spin-zero particles. These results may be of assistance in our understanding of radiation by ultrarelativistic particles.