On Nelson-Type Hamiltonians and Abstract Boundary Conditions

@article{Lampart2019OnNH,
  title={On Nelson-Type Hamiltonians and Abstract Boundary Conditions},
  author={Jonas Lampart and Julian Schmidt},
  journal={Communications in Mathematical Physics},
  year={2019},
  volume={367},
  pages={629-663}
}
We construct Hamiltonians for systems of nonrelativistic particles linearly coupled to massive scalar bosons using abstract boundary conditions. The construction yields an explicit characterisation of the domain of self-adjointness in terms of boundary conditions that relate sectors with different numbers of bosons. We treat both models in which the Hamiltonian may be defined as a form perturbation of the free operator, such as Fröhlich’s polaron, and renormalisable models, such as the massive… 
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