Umul, Yusuf Ziya06.02. Elektronik ve Haberleşme Mühendisliği06. Mühendislik Fakültesi01. Çankaya Üniversitesi2022-03-102025-09-182022-03-102025-09-182021Umul, Yusuf Ziya (2021). "Airy-type relativistic matter wave", Optik, Vol. 247.0030-40261618-1336https://doi.org/10.1016/j.ijleo.2021.167918https://hdl.handle.net/123456789/10487A new relativistic Airy-type matter wave is introduced as a solution of the kinetic energy based wave equation. The parametric solution of the related differential equation is obtained. The total energy and momentum of the relativistic particle are derived by using a Bohmian type of decomposition of the kinetic energy based equation. The acceleration of the particle is also evaluated. The behavior of the matter wave is investigated numerically.eninfo:eu-repo/semantics/closedAccessAiry-Type Matter WaveNon-Spreading Wave FunctionRelativistic Quantum MechanicsArticle10.1016/j.ijleo.2021.1679182-s2.0-85114920318