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Scattering of relativistic spinless particles within the Feshbach-Villars formalism

Scattering of relativistic spinless particles within the Feshbach-Villars formalism

We consider the relativistic quantum scattering of spinless particles in one-spatial dimension using the Feshbach-Villars formalism. We construct the general form of the scattering matrix, for symmetric and non-symmetric potentials, based on the symmetry properties of the Feshbach-Villars equation. Then, since in one dimension there are only two partial waves …