Magnetostatic Analogy of the Zero Energy State of Jackiw-Rebbi
R. Rubiano
TL;DR
This paper draws an analogy between magnetostatics and the zero-energy state in the Jackiw-Rebbi model, linking magnetic media Poisson equations to Dirac equations in one dimension.
Contribution
It introduces a novel analogy connecting magnetostatics and quantum field theory for zero-energy states in one dimension.
Findings
Established a mathematical similarity between Poisson and Dirac equations
Linked magnetostatic problems to quantum zero-energy states
Provided insights into topological properties of the Jackiw-Rebbi model
Abstract
We prepared a similarity between the Poisson equation in non-homogeneous magnetic material media and Dirac's one-dimensional equation for the zero-energy state, which establishes a connections with the Jackiw-Rebbi model in one dimension for this same state.
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Quantum, superfluid, helium dynamics · Quantum Mechanics and Non-Hermitian Physics