Person: Olpak, Mehmet Ali
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Dr. Öğr. Üyesi
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Olpak
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Mehmet Ali
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Mehmet OLPAK
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Publication DIRAC EQUATION ON A CURVED (2+1)-DIMENSIONAL HYPERSURFACE(World Scientific Pub Co Pte Lt, 2012-01-30) MEHMET ALI OLPAK; Olpak, Mehmet AliInterest on (2+1)-dimensional electron systems has increased considerably after the realization of novel properties of graphene sheets, in which the behavior of electrons is effectively described by relativistic equations. Having this fact in mind, the following problem is studied in this work: when a spin-1/2 particle is constrained to move on a curved surface, is it possible to describe this particle without giving reference to the dimensions external to the surface? As a special case of this, a relativistic spin-1/2 particle which is constrained to move on a (2+1)-dimensional hypersurface of the (3+1)-dimensional Minkowskian spacetime is considered, and an effective Dirac equation for this particle is derived using the so-called thin layer method. Some of the results are compared with those obtained in a previous work by Burgess and Jensen.Publication Generalized black holes in 3D Kerr-Schild double copy(American Physical Society (APS), 2022-07-28) Gökhan Alkaç; Mehmet Kemal Gümüş; Mehmet Ali Olpak; Olpak, Mehmet AliPublication Kerr-Schild double copy of the Coulomb solution in three dimensions(American Physical Society (APS), 2021-08-16) Gökhan Alkaç; Mehmet Kemal Gümüş; Mehmet Ali Olpak; Olpak, Mehmet AliPublication Generalized black holes in 3D Kerr-Schild double copy(American Physical Society (APS), 2022-07-28) Gökhan Alkaç; Mehmet Kemal Gümüş; Mehmet Ali Olpak; Olpak, Mehmet Ali