Umul, Yusuf Ziya2020-03-092025-09-182020-03-092025-09-182019Umul, Yusuf Ziya, "A new approach to the Dirac equation", Optik, Vol. 181, pp. 524-527, (2019).0030-4026https://doi.org/10.1016/j.ijleo.2018.12.129https://hdl.handle.net/20.500.12416/11875Umul, Yusuf/0000-0001-9342-2728Dirac equation is based on a novel method that expresses the roots of a square-root operation in terms of matrices. Instead of this technique we propose an alternative approach. The square-root expression is represented as a hypotenuse and it is written in terms of a trigonometric summation of the remaining two edges of a right-angle triangle. Both of the positive and negative energy terms are taken into account and a new matrix equation is obtained. The plane wave solutions of the new differential equation are studied.eninfo:eu-repo/semantics/closedAccessDirac EquationRelativistic Quantum MechanicsSpinArticle10.1016/j.ijleo.2018.12.1292-s2.0-85059149883