准极端Reissner-Nordstrom黑洞对Dirac粒子的散射  

Scattering of Dirac particles off quasi-extreme Reissner-Nordstromblack holes

作　　者：吕嫣[1] 花巍[1] 

机构地区：[1]沈阳师范大学物理科学与技术学院,沈阳110034

出　　处：《沈阳师范大学学报（自然科学版）》2015年第3期405-408,共4页Journal of Shenyang Normal University:Natural Science Edition

基　　金：国家自然科学基金青年科学基金资助项目(11301350)

摘　　要：在Reissner-Nordstrm时空下,给出分离变量后的Dirac方程的径向方程和角向方程。按照Chandrasekhar的方法,通过定义乌龟坐标变换,将径向耦合方程退耦成独立的一维波动方程,并给出方程中势的表达式。考虑到极端Reissner-Nordstrm黑洞内外视界是重合的,这将导致黑洞的质量和电荷量相同。在准极端Reissner-Nordstrm背景时空下,讨论了当粒子的能量大于势垒高度时,Dirac粒子被黑洞的散射情况。首先,将势函数用一组阶梯函数代替;之后,利用量子力学的方法给出透射反射系数以及波函数的数值变化曲线;最后,比较分析不同质量的粒子被散射的情况。从结果来看,不同质量Dirac粒子的散射是明显不同的,质量越大的粒子散射越强。从这个角度来讲,黑洞也可以看做是一个质量摄谱仪。Dirac equations are separated into radial and angular equations in Reissner-Nordstrm（RN）geometry.By tortoise coordinate transformation,the radial parts of Dirac equations are decoupled into independent one-dimensional wave equations according to Chandrasekhar＇s method.The form of the potential in the wave equations is also given.For extreme RN black holes,the two black hole horizons are coincidence,which leads to the equal mass and the electric charge of the black hole.In quasi-extreme Reissner-Nordstrm geometry,the case that the energies of the waves are greater than the height of the potential barrier is considered.First,the potential is replaced by a collection of step functions.Second,the reflection and transmission coefficients and the wave functions are computed by quantum mechanics method.Last,the solutions to Dirac equations with different masses are compared.The results show that Dirac particles with different mass are scattered obviously different,the greater the mass is,the stronger the scattering is.Therefore,the black hole can act as a mass spectrograph.

关 键 词：准极端Reissner-Nordstrom黑洞 DIRAC粒子 散射 乌龟坐标 

分 类 号：O412.1[理学—理论物理]