量子相空间中相互垂直的静电场和强磁场条件下带电粒子体系的严格解(英文)

Rigorous solutions for the charged particle in mutually perpendicular static electric field and strong magnetic field in quantum phase space

本论文在 Torres-Vega 和 Frederick 的量子相空间理论框架内,对相互垂直的静电场和强磁场这一特定条件下带电粒子体系的 T-F 量子相空间表象中的 Schrdinger 方程进行了严格求解,并获得了其精确解.同时发现该体系在相空间中的量子几率密度取决于磁场强度的大小和带电粒子能级的高低,结论由 Heisenberg 测不准原理给予了解释.

Within the framwork of Torres-Vega and Frederick （T-F） quantum phase space theory, the rigorous solutions of the Schrodinger equation with the charged particle in mutually perpendicular static electric field and strong magnetic field are solved. It is found that the probability density of quantum phase space strongly depends on the value of magnetic field and the energy level of charged particle, and the result is interpreted well by the Heisenberg uncertainty principle.