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Vaidya-Bonner时空中Dirac粒子和标量粒子的能级

Comparison of energy levels of dirac particles and scalar particles
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摘要 用旋量零标架方法对Vaidya-Bonner时空中旋量粒子的Dirac方程分离变量,进而推导出Dirac粒子的能级方程;从Hamilton-Jacobin方程出发,通过广义Tortoise变换推导出该时空中标量粒子的能级方程;发现Dirac粒子和标量粒子在该时空中的能量分布不仅与粒子的静质量、自旋量子数、角量子数有关,而且与黑洞周围的时空结构及视界的变化率有关;但两类粒子的能级方程有明显区别. The variables of Dirac equation of spin particles on the background of Vaidya-Bonner space-time are separated by spin method, and then the energy level equations of Dirac particles are obtained. The energy level equations of scalar particles starting are derived out from Hamilton-Jacobin equation by using general Tortoise transformation. It is found that the energy distribution of Dirac particles is similar to scalar particles, but the difference is clear. The energy distributions of both Dirac particle and scalar particles are not only dependent on their static mass and angular quantum number, but also related to the structure of space-time and the rate of change of the event horizon.
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2006年第4期97-100,共4页 Journal of Shandong University(Natural Science)
关键词 零标架 Vaidya—Bonner时空 DIRAC粒子 标量粒子 能级方程 null frame Vaidya-Bonner space-time Dirac particles scalar particles energy level equations
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