Related papers: Scattering solution of Schr\"odinger equation with $\delta$-potential in deformed space with minimal length

Scattering solution of Schr\"odinger equation with $\delta$-potential in deformed space with minimal length

URL: http://arxiv.org/abs/2110.12494v2
Date: Tue, 28 Nov 2023 13:27:19 GMT
Title: Scattering solution of Schr\"odinger equation with $\delta$-potential in deformed space with minimal length
Authors: M. I. Samar and V. M. Tkachuk
Abstract summary: We consider the Dirac $delta$-function potential problem in general case of deformed Heisenberg algebra leading to the minimal length. For some resonance energy the incident wave is completely reflected.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We consider the Dirac $\delta$-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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