论文标题
粒子梁的确切量子力学方程
Exact quantum-mechanical equations for particle beams
论文作者
论文摘要
已经得出了均匀磁场中的自由颗粒（包括光子）和狄拉克（Dirac）和自旋-1颗粒的光束的精确量子机械方程。这些方程式列出了光束（光束的精确Helmholtz方程）和粒子物理学以及先前在均匀磁场中Dirac粒子的近去近去的方程式中众所周知的近距离方程的确切概括。已经确定了粒子梁精确波征性的一些基本特性。
The exact quantum-mechanical equations for beams of free particles including photons and for beams of Dirac and spin-1 particles in a uniform magnetic field have been derived. These equations present the exact generalizations of the well-known paraxial equations in optics (exact Helmholtz equation for light beams) and particle physics and of the previously obtained paraxial equation for a Dirac particle in a uniform magnetic field. Some basic properties of exact wave eigenfunctions of particle beams have been determined.
