## One Citation

## References

SHOWING 1-10 OF 43 REFERENCES

### A Short Remark on the Polaron in the Semi-relativistic Pauli-Fierz Model

- Mathematics
- 2013

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

- 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…

### Binding condition for a general class of quantum field Hamiltonians

- 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…

### One Particle Binding of Many-Particle Semi-Relativistic Pauli-Fierz Model

- Physics
- 2013

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…

### Continuity properties of the semi-group and its integral kernel in non-relativistic QED

- Mathematics
- 2015

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,…

### Ground states of semi-relativistic Pauli-Fierz and no-pair Hamiltonians in QED at critical Coulomb coupling

- 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…

### Existence of ground states of hydrogen-like atoms in relativistic quantum electrodynamics. II. The no-pair operator

- 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…

### Exponential Localization of Hydrogen-like Atoms in Relativistic Quantum Electrodynamics

- 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…

### Existence of ground states of hydrogen-like atoms in relativistic QED I: The semi-relativistic Pauli-Fierz operator

- 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…