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appell polynomials 1clifford analysis 1dirac equation 1helmholtz equation 1kronig-penney model 1

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math-ph2026

Clifford-Appell formulation of a Dirac-type Kronig-Penney model in condensed matter physics

L. Aceto, P. A. Grassi, H. Malonek

The paper reformulates the stationary Dirac equation for a generalized Kronig‑Penney model using Clifford analysis, introduces a Clifford‑Appell polynomial basis, and derives expli…