• Corpus ID: 53650073

# On the number of bound states in QED$_3$

@article{Lima2018OnTN,
title={On the number of bound states in QED\$\_3\$},
author={Washington de Lima and Oswaldo M. Del Cima and Daniel H. T. Franco},
journal={arXiv: Mathematical Physics},
year={2018}
}
• Published 3 October 2018
• Mathematics, Physics
• arXiv: Mathematical Physics
We establish the consistency conditions for two-particle non relativistic bound states for any three space-time dimensional quantum electrodynamics model (QED$_3$) exhibiting an attractive scattering potential of $K_{_0}$-type, the Bessel-Macdonald function. Initially, we study the self-adjointness of the hamiltonian operator, then by using {\em Seto-type estimates}, an estimate number of two-quantum bound states is derived for any value of the angular momentum. In fact, this result in…

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