Dirac Equation on a Curved 2+1 Dimensional Hypersurface

Autor:	Olpak, Mehmet Ali
Rok vydání:	2010
Předmět:	High Energy Physics - Theory Condensed Matter - Other Condensed Matter General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
DOI:	10.1142/S0217732312500162
Popis:	Interest on 2 + 1 dimensional electron systems has increased considerably after the realization of novel properties of graphene sheets, in which the behaviour 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 M. Burgess and B. Jensen. Comment: 5 pages. To be published in Modern Physics Letters A
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1010.2370 Zobrazit plný text záznamu View this record from Arxiv