Contact interactions and Kronig–Penney models in Hermitian and PT symmetric quantum mechanics

@article{Thompson2018ContactIA,
  title={Contact interactions and Kronig–Penney models in Hermitian and PT symmetric quantum mechanics},
  author={Foster Thompson and Katherine Brown and Harsh Mathur and Kristin McKee},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2018},
  volume={51}
}
The delta function potential is a simple model of zero-range contact interaction in non-relativistic quantum mechanics in one dimension. The Kronig–Penney model is a one-dimensional periodic array of delta functions and provides a simple illustration of energy bands in a crystal. Here we investigate contact interactions that generalize the delta function potential and corresponding generalizations of the Kronig–Penney model within conventional and symmetric quantum mechanics. In conventional… 
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