• Corpus ID: 118353046

Relativistic bound-state equations for two-fermion systems

@article{Agafonov1999RelativisticBE,
  title={Relativistic bound-state equations for two-fermion systems},
  author={A. I. Agafonov and Eduard A. Manykin},
  journal={arXiv: Mathematical Physics},
  year={1999}
}
We point out that the free single-fermion propagator which is used in the QFT equations for two-fermion systems, has a bosonic structure, transforms to the single-boson propagator for the Klein-Gordon equation in the nonrelativistic limit, and, therefore, does not satisfy the Lehmann spectral representation for fermions. Proceeding from the Lippmann-Schwinger integral equation, we obtain a two-fermion relativistic wave equation in which the free two-fermion equal-time propagator satisfying the…