Schrodinger operators with a switching effect

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F20%3A00539673" target="_blank" >RIV/61389005:_____/20:00539673 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-981-15-0928-5_2" target="_blank" >http://dx.doi.org/10.1007/978-981-15-0928-5_2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-981-15-0928-5_2" target="_blank" >10.1007/978-981-15-0928-5_2</a>

Result language
angličtina
Original language name
Schrodinger operators with a switching effect
Original language description
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 herenthe effect of an abrupt spectral change for some classes of Schrodinger operators depending on the value of the coupling constant, from below bounded and partlynor fully discrete, to the continuous one covering the whole real axis. A prototypeof such a behavior can be found in Smilansky-Solomyak model devised to illustratenthat an an irreversible behavior is possible even if the heat bath to which the systemsis coupled has a finite number of degrees of freedom and analyze several modifications of this model, with regular potentials or a magnetic field, as well as another system in which p-x p-y potential is amended by a negative radially symmetric term.Finally, we also discuss resonance effects in such models.
Czech name
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Czech description
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Project
<a href="/en/project/GA17-01706S" target="_blank" >GA17-01706S: Mathematical-Physics Models of Novel Materials</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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