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arXiv · 2008.12718

Bound states of a Klein-Gordon particle in presence of a smooth potential well

Eduardo López·Clara Rojas
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Abstract

We solve the one-dimensional time-independent Klein-Gordon equation in presence of a smooth potential well. The bound state solutions are given in terms of the Whittaker $M_{\kappa,\mu}(x)$ function, and the antiparticle bound state is discussed in terms of potential parameters.

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Eduardo López, Clara Rojas. 2020-08-28. Bound states of a Klein-Gordon particle in presence of a smooth potential well. https://doi.org/10.1142/s0217751x20501407.

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