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

2019/10/25 by Youngik Lee, Lee, Youngik
Physics and Astronomy · #Electromagnetic Scattering and Analysis #FOS: Physical sciences #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.1910.11431

openalex publication_date 2019/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This research focuses on the possibility of the surjective relation between\nsymmetric potential function and its scattering matrix in 1-dimension. The\ntheory bases on the property of wave function symmetry and boundary conditions.\nThis research shows the surjective relation in some particular cases, delta\nfunction potential, and finite square wall potential, and disproves the\ninjective relation of the arbitrary potential function and its S-matrix.\n

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