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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  • R. Tumulka
  • Physics, Mathematics
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  • 2019

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