On a direct description of pseudorelativistic Nelson Hamiltonians

@article{Schmidt2019OnAD,
  title={On a direct description of pseudorelativistic Nelson Hamiltonians},
  author={Julian Schmidt},
  journal={Journal of Mathematical Physics},
  year={2019}
}
  • Julian Schmidt
  • Published 8 October 2018
  • Physics
  • Journal of Mathematical Physics
Abstract interior-boundary conditions (IBC's) allow for the direct description of the domain and the action of Hamiltonians for a certain class of ultraviolet-divergent models in Quantum Field Theory. The method was recently applied to models where nonrelativistic scalar particles are linearly coupled to a quantised field, the best known of which is the Nelson model. Since this approach avoids the use of ultraviolet-cutoffs, there is no need for a renormalisation procedure. Here, we extend the… 
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  • R. Tumulka
  • Mathematics
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  • 2020
Interior-boundary conditions (IBCs) are boundary conditions on wave functions for Schrödinger equations that allow that probability can flow into (and thus be lost at) a boundary of configuration
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