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Verifying the surjective relation between symmetric potential function and its Scattering Matrix in 1D
arXiv
Authors: Youngik Lee
Year
2019
Paper ID
15274
Status
Preprint
Abstract Read
~2 min
Abstract Words
64
Citations
N/A
Abstract
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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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- This research focuses on the possibility of the surjective relation between symmetric potential function and its scattering matrix in 1-dimension.
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