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Entanglement Theory Quantum Correlations Open Quantum Systems Decoherence Quantum Simulation Quantum State Preparation Representation

The Spinless Relativistic Kink-Like Problem

arXiv
Authors: Wolfgang Lucha, Franz F. Schöberl

Year

2014

Paper ID

45892

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

Abstract

We constrain the possible bound-state solutions of the spinless Salpeter equation (the most obvious semirelativistic generalization of the nonrelativistic Schrödinger 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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  • We constrain the possible bound-state solutions of the spinless Salpeter equation (the most obvious semirelativistic generalization of the nonrelativistic Schrödinger equation)...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1412.4950 [2] arXiv https://arxiv.org/abs/1412.4950 [3] Publisher https://arxiv.org/abs/1412.4950

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