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Open Quantum Systems Decoherence Quantum Simulation

The Spinless Relativistic Hulthén Problem

arXiv
Authors: Wolfgang Lucha, Franz F. Schöberl

Year

2014

Paper ID

47964

Status

Preprint

Abstract Read

~2 min

Abstract Words

71

Citations

N/A

Abstract

The spinless Salpeter equation can be regarded as the eigenvalue equation of a Hamiltonian that involves the relativistic kinetic energy and therefore is, in general, a nonlocal operator. Accordingly, it is hard to find solutions of this bound-state equation by exclusively analytic means. Nevertheless, a lot of tools enables us to constrain the resulting bound-state spectra rigorously. We illustrate some of these techniques for the example of the Hulthén potential.

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  • The spinless Salpeter equation can be regarded as the eigenvalue equation of a Hamiltonian that involves the relativistic kinetic energy and therefore is, in general, a...

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