Self-adjointness and domain of the Fröhlich Hamiltonian

@article{Griesemer2015SelfadjointnessAD,
  title={Self-adjointness and domain of the Fr{\"o}hlich Hamiltonian},
  author={Marcel Griesemer and Adolf Wuensch},
  journal={Journal of Mathematical Physics},
  year={2015},
  volume={57},
  pages={021902}
}
In the large polaron model of Herbert Frohlich, the electron-phonon interaction is a small perturbation in form sense, but a large perturbation in operator sense. This means that the form-domain of the Hamiltonian is not affected by the interaction but the domain of self-adjointness is. In the particular case of the Frohlich model, we are nevertheless able, thanks to a recently published new operator bound, to give an explicit characterization of the domain in terms of a suitable dressing… 
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31 Citations

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