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Verifying the surjective relation between symmetric potential function and its Scattering Matrix in 1D

Youngik Lee
arXiv: Quantum Physics
Oct 2019
摘要
This research focuses on the possibility of the surjective relation between symmetric potential function and its scattering matrix in 1-dimension. The theory bases on the property of wave function symmetry and boundary conditions. This research shows the surjective relation in some particular cases, delta function potential, and finite square wall potential, and disproves the injective relation of the arbitrary potential function and its S-matrix.
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