# 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}
}
• Published 5 February 2014
• Physics, Mathematics
• Journal of Spectral Theory
1 Citations

## References

SHOWING 1-10 OF 43 REFERENCES

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} + • Physics • 2015 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 • Physics • 2012 We consider a system of a quantum particle interacting with a quantum field and an external potential$V(\bx)$. The Hamiltonian is defined by a quadratic form$H^V = H^0 + V(\bx)$, where$H^0$is a 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
Employing recent results on stochastic differential equations associated with the standard model of non-relativistic quantum electrodynamics by B. G\"uneysu, J.S. M{\o}ller, and the present author,
• Physics
• 2011
We consider the semi-relativistic Pauli-Fierz Hamiltonian and a no-pair model of a hydrogen-like atom interacting with a quantized photon field at the respective critical values of the Coulomb
• Physics
• 2011
We consider a hydrogen-like atom in a quantized electromagnetic field which is modeled by means of a no-pair operator acting in the positive spectral subspace of the free Dirac operator minimally
• Physics
• 2009
We consider two different models of a hydrogenic atom in a quantized electromagnetic field that treat the electron relativistically. The first one is a no-pair model in the free picture, the second
• Physics
• 2009
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