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CELEBRATING 100 YEARS OF THE LEGENDARY -SCHRÖDINGER EQUATION -- Dirac and Schrödinger's Equations from Maxwell's Classical Electrodynamics: A Factorization via the Riemann-Weber-Silberstein 3-Vector Formalism

G G Nyambuya

Published Oct 23, 2026• 0 citations
Publisher
DOI
10.13140/rg.2.2.27497.25442

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This work presents a novel approach for simulating electromagnetic (EM) wave propagation by leveraging quantum computing techniques. By reformulating Maxwell's equations through the Riemann-Silberstein formalism, we cast the problem into a Schrödinger-like framework, enabling the application of Hamiltonian simulation methods. In particular, we employ the Trotter-Suzuki decomposition to approximate the time evolution operator, facilitating efficient quantum simulation of EM wave generated by a Gaussian pulse propagating within a two-dimensional metallic cavity. Our results illustrate the potential of quantum algorithms to address complex electrodynamics problems, offering promising avenues for future advancements in electromagnetics engineering.