# Schrödinger Operators with a Switching Effect

@article{Exner2020SchrdingerOW, title={Schr{\"o}dinger Operators with a Switching Effect}, author={Pavel Exner}, journal={arXiv: Mathematical Physics}, year={2020}, pages={13-31} }

This paper summarizes the contents of a plenary talk given at the 14th Biennial Conference of Indian SIAM in Amritsar in February 2018. We discuss here the effect of an abrupt spectral change for some classes of Schrodinger operators depending on the value of the coupling constant, from below bounded and partly or fully discrete, to the continuous one covering the whole real axis. A prototype of such a behavior can be found in the Smilansky–Solomyak model devised to illustrate that an…

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