论文标题
Schrödinger操作员具有开关效果
Schrödinger operators with a switching effect
论文作者
论文摘要
本文总结了2018年2月在阿姆利则在印度暹罗举行的第14届双年两年一次会议上发表的全体演讲内容。我们在这里讨论了某些类别的Schrödinger运营商突然变化的效果，取决于耦合常数的价值，取决于耦合的价值，从下面或完全限制或完全派遣的consect of consecter of to Clotunce of to Clotunce coble of the Real ofer corter ofer core the Real of the Real assias。 A prototype of such a behavior can be found in Smilansky-Solomyak model devised to illustrate that an an irreversible behavior is possible even if the heat bath to which the systems is 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 $x^py^p$ potential is amended by a negative radially symmetric term.最后，我们还讨论了此类模型中的共振效应。
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 Schrödinger 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 Smilansky-Solomyak model devised to illustrate that an an irreversible behavior is possible even if the heat bath to which the systems is 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 $x^py^p$ potential is amended by a negative radially symmetric term. Finally, we also discuss resonance effects in such models.
