Electrostatic analogy of the Jackiw-Rebbi zero energy state
Other Condensed Matter
2017-12-07 v1
Abstract
We present an analogy between the one dimensional Poisson equation in inhomogeneous media and the Dirac equation in one space dimension with a Lorentz scalar potential for zero energy. We illustrate how the zero energy state in the Jackiw-Rebbi model can be implemented in a simple one dimensional electrostatic setting by using an inhomogeneous electric permittivity and an infinite charged sheet. Our approach provides a novel insight into the Jackiw-Rebbi zero energy state and provides a helpful view in teaching this important quantum field theory model using basic electrostatics.
Keywords
Cite
@article{arxiv.1712.02231,
title = {Electrostatic analogy of the Jackiw-Rebbi zero energy state},
author = {Gabriel Gonzalez and Javier Mendez and Ramon Diaz de Leon-Zapata and Francisco Javier Gonzalez},
journal= {arXiv preprint arXiv:1712.02231},
year = {2017}
}
Comments
4 pages. arXiv admin note: text overlap with arXiv:1707.06743