Electrostatic simulation of the Jackiw-Rebbi zero energy state

Authors

  • Gabriel Gonzalez
  • Javier Mendez
  • Ramon Diaz
  • Francisco Javier Gonzalez

DOI:

https://doi.org/10.31349/RevMexFisE.65.30

Keywords:

Poisson equation, Dirac equation, Jackiw-Rebbi model.

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 way to visualize and teach this important quantum field theory model using basic electrostatics.

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Published

2019-01-21

How to Cite

[1]
G. Gonzalez, J. Mendez, R. Diaz, and F. J. Gonzalez, “Electrostatic simulation of the Jackiw-Rebbi zero energy state”, Rev. Mex. Fis. E, vol. 65, no. 1 Jan-Jun, pp. 30–33, Jan. 2019.