MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

A regular version of Smilansky model

Diana Barseghyan Pavel Exner

TBD mathscidoc:1910.43173

Journal of Mathematical Physics, 55, (4), 042104, 2014.4
We discuss a modification of Smilansky model in which a singular potential channel is replaced by a regular, below unbounded potential which shrinks as it becomes deeper. We demonstrate that, similarly to the original model, such a system exhibits a spectral transition with respect to the coupling constant, and determine the critical value above which a new spectral branch opens. The result is generalized to situations with multiple potential channels.
No keywords uploaded!
[ Download ] [ 2019-10-20 13:23:03 uploaded by Pavel_Exner ] [ 360 downloads ] [ 0 comments ] 
@inproceedings{diana2014a,
  title={A regular version of Smilansky model},
  author={Diana Barseghyan, and Pavel Exner},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020132304037248702},
  booktitle={Journal of Mathematical Physics},
  volume={55},
  number={4},
  pages={042104},
  year={2014},
}
Diana Barseghyan, and Pavel Exner. A regular version of Smilansky model. 2014. Vol. 55. In Journal of Mathematical Physics. pp.042104. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020132304037248702.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved