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arXiv · 1712.02231

Electrostatic analogy of the Jackiw-Rebbi zero energy state

Gabriel Gonzalez·Javier Mendez·Ramon Diaz de Leon-Zapata·Francisco Javier Gonzalez
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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.

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Gabriel Gonzalez, Javier Mendez, Ramon Diaz de Leon-Zapata, Francisco Javier Gonzalez. 2017-12-04. Electrostatic analogy of the Jackiw-Rebbi zero energy state. https://arxiv.org/abs/1712.02231

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