Spectrum of the semi-relativistic Pauli–Fierz model II

@article{Hidaka2014SpectrumOT,
  title={Spectrum of the semi-relativistic Pauli–Fierz model II},
  author={Takeru Hidaka and Fumio Hiroshima and Itaru Sasaki},
  journal={Journal of Spectral Theory},
  year={2014}
}

Semi-relativistic QED

References

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We consider the polaron of the spinless semi-relativistic Pauli-Fierz model. The Hamiltonian of the model is defined by $H(\mathbf{P}) = \sqrt{(\mathbf{P}-d\Gamma(\mathbf{k}) + e\bA)^2 + M^2} +

Self-adjointness of the semi-relativistic Pauli–Fierz Hamiltonian

The spinless semi-relativistic Pauli–Fierz Hamiltonian $$H = \sqrt{(p \otimes 1\kern-4pt1 - A)^2 + M^2} + V \otimes 1\kern-4pt1 + 1\kern-4pt1 \otimes {\rm H_f},$$ in quantum electrodynamics is

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It is shown that at least one particle is bound in the $N$-particle semi-relativistic Pauli-Fierz model with negative potential $V(\bx)$. It is assumed that the particles have no spin and obey the

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We consider a hydrogen-like atom in a quantized electromagnetic field which is modeled by means of the semi-relativistic Pauli-Fierz operator and prove that the infimum of the spectrum of the latter