# 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…

## One Citation

### Perturbative method for resolving contact interactions in quantum mechanics

- PhysicsPhysical Review A
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Long-range effective methods are ubiquitous in physics and in quantum theory, in particular. Furthermore, the reliability of such methods is higher when the nature of short-ranged interactions need…

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