Electrostatic simulation of the Jackiw-Rebbi zero energy state

Gabriel Gonzalez, Javier Mendez, Ramon Diaz, Francisco Javier Gonzalez

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.

Keywords


Poisson equation, Dirac equation, Jackiw-Rebbi model.

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

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Revista Mexicana de Física E

ISSN: 1870-3542

Semiannual publication of Sociedad Mexicana de Física, A.C.
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