On the bound-state spectrum of a nonrelativistic particle in the background of a short-ranged linear potential

2010/03/15 by Luis B. Castro, L. B. Castro, Castro, L. B. +3
Physics and Astronomy · #Crystallography and Radiation Phenomena #FOS: Physical sciences #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #quant-ph

paper · pdf · doi:10.48550/arxiv.1003.2993

arxiv created 2010/03/15 · openalex publication_date 2010/03/15 · arxiv updated 2010/03/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The nonrelativistic problem of a particle immersed in a triangular potential well, set forth by N.A. Rao and B.A. Kagali, is revised. It is shown that these researchers misunderstood the full meaning of the potential and obtained a wrong quantization condition. By exploring the space inversion symmetry, this work presents the correct solution to this problem with potential applications in electronics in a simple and transparent way.

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