Umul, Yusuf Ziya2020-03-162025-09-182020-03-162025-09-182019Umul, Yusuf Ziya, "Relativistic wave equation for a quantum particle with potential energy", Optik, Vol. 180, pp. 220-225, (2019).0030-4026https://doi.org/10.1016/j.ijleo.2018.11.095https://hdl.handle.net/20.500.12416/13211Umul, Yusuf/0000-0001-9342-2728A new relativistic wave equation is derived for a quantum particle which moves in a potential. The relativistic equation of energy is reconsidered with the potential energy term. The energy-momentum relation is obtained for this case. The related differential equation is derived by taking into account a wave function in terms of a plane wave. It is shown that the new equation directly reduces to the Schrodinger equation of a particle, moving in a potential in the non-relativistic limit. The wave equation is applied to the interaction of wave function with a potential barrier.eninfo:eu-repo/semantics/closedAccessRelativistic Quantum MechanicsSpecial RelativityWave EquationArticle10.1016/j.ijleo.2018.11.0952-s2.0-85057274766