Stability of Dirac Equation in Four-Dimensional Gravity  

作　　者：F. Safari H. Jafari J. Sadeghi S. J. Johnston D. Baleanu 

机构地区：[1]Department of Mathematics, University of Mazandaran, Babolsar, Iran [2]Physics Department, University of Mazandaran, Babolsar 4716-95447, Iran [3]Department of Mathematical Sciences, University of South Africa, UNISA 0003, South Africa [4]Department of Mathematics, Faculty of Art and Science, Cankaya University, Balgat 06530, Turkey [5]Institute of Space Sciences, Magurele-Bueharest, Romania

出　　处：《Chinese Physics Letters》2017年第6期10-13,共4页中国物理快报（英文版）

摘　　要：We introduce the Dirac equation in four-dimensional gravity which is a generally covariant form. We choose the suitable variable and solve the corresponding equation. To solve such equation and to obtain the corresponding bispinor, we employ the factorization method which introduces the associated Laguerre polynomial. The asso- ciated Laguerre polynomials help us to write the Dirac equation of four-dimensional gravity in the form of the shape invariance equation. Thus we write the shape invariance condition with respect to the secondary quantum number. Finally, we obtain the spinor wave function and achieve the corresponding stability of condition for the four-dimensional gravity system.We introduce the Dirac equation in four-dimensional gravity which is a generally covariant form. We choose the suitable variable and solve the corresponding equation. To solve such equation and to obtain the corresponding bispinor, we employ the factorization method which introduces the associated Laguerre polynomial. The asso- ciated Laguerre polynomials help us to write the Dirac equation of four-dimensional gravity in the form of the shape invariance equation. Thus we write the shape invariance condition with respect to the secondary quantum number. Finally, we obtain the spinor wave function and achieve the corresponding stability of condition for the four-dimensional gravity system.

关 键 词：Stability of Dirac Equation in Four-Dimensional Gravity 

分 类 号：O314[理学—一般力学与力学基础]