Interior-boundary conditions for Schrödinger operators on codimension-1 boundaries

@article{Tumulka2020InteriorboundaryCF,
  title={Interior-boundary conditions for Schr{\"o}dinger operators on codimension-1 boundaries},
  author={Roderich Tumulka},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2020},
  volume={53}
}
  • R. Tumulka
  • Published 19 August 2018
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
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 space while getting added in another part of configuration space. IBCs are of particular interest because they allow for defining Hamiltonians involving particle creation and annihilation (as used in quantum field theories) without the need for renormalization or ultraviolet cut-off. For those… 
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10 Citations

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  • R. Tumulka
  • Physics, Mathematics
    Journal of Geometry and Physics
  • 2019

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Interior-boundary conditions (IBCs) have been suggested as a possibility to circumvent the problem of ultraviolet divergences in quantum field theories. In the IBC approach, particle creation and…
Complex charges, time reversal asymmetry, and interior-boundary conditions in quantum field theory
While fundamental physically realistic Hamiltonians should be invariant under time reversal, time asymmetric Hamiltonians can occur as mathematical possibilities or effective Hamiltonians. Here, we…
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