Scattering solution of Schrödinger equation with δ-potential in deformed space with minimal length

2021/10/24 by M. I. Samar, Samar, M. I., V. M. Tkachuk +1
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2110.12494

Abstract

We consider the Dirac δ-function potential problem in general case of deformed Heisenberg algebra leading to the minimal length. Exact bound and scattering solutions of the problem in quasiposition representation are presented. We obtain that for some resonance energy the incident wave is completely reflected. We conclude that this effect is very sensitive to the choice of the deformation function.

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