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arxiv: 1003.2993 · v1 · submitted 2010-03-15 · 🪐 quant-ph

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

classification 🪐 quant-ph
keywords potentialnonrelativisticparticleproblemapplicationsbackgroundbound-statecondition
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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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