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arXiv · 1412.4950

The Spinless Relativistic Kink-Like Problem

Wolfgang Lucha·Franz F. Schöberl
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Abstract

We constrain the possible bound-state solutions of the spinless Salpeter equation (the most obvious semirelativistic generalization of the nonrelativistic Schr\"odinger equation) with an interaction between the bound-state constituents given by the kink-like potential (a central potential of hyperbolic-tangent form) by formulating a bunch of very elementary boundary conditions to be satisfied by all solutions of the eigenvalue problem posed by a bound-state equation of this type, only to learn that all results produced by a procedure very much liked by some quantum-theory practitioners prove to be in severe conflict with our expectations.

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Wolfgang Lucha, Franz F. Schöberl. 2014-12-16. The Spinless Relativistic Kink-Like Problem. https://doi.org/10.1142/s0217751x15500621

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