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Jafar Sadeghi

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Science
Address:
Phone: 9111125092

Research

Title
Stability of Dirac Equation in Four-Dimensional Gravity
Type
JournalPaper
Keywords
factorization method, Dirac equation
Year
2017
Journal CHINESE PHYSICS LETTERS
DOI
Researchers Farzaneh Safari ، Hossein Jafari ، Jafar Sadeghi ، Sarah Jane Johnston ، Dumitru Baleanu

Abstract

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 associated 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.