MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Spectral and resonance properties of the Smilansky Hamiltonian

Pavel Exner Vladimir Lotoreichik Milo Tater

Spectral Theory and Operator Algebra mathscidoc:1910.43245

Physics Letters A, 381, (8), 756-761, 2017.2
We analyze the Hamiltonian proposed by Smilansky to describe irreversible dynamics in quantum graphs and studied further by Solomyak and others. We derive a weak-coupling asymptotics of the ground state and add new insights by finding the discrete spectrum numerically in the subcritical case. Furthermore, we show that the model then has a rich resonance structure.
No keywords uploaded!
[ Download ] [ 2019-10-20 13:45:53 uploaded by Pavel_Exner ] [ 654 downloads ] [ 0 comments ] 
@inproceedings{pavel2017spectral,
  title={Spectral and resonance properties of the Smilansky Hamiltonian},
  author={Pavel Exner, Vladimir Lotoreichik, and Milo Tater},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020134553905493774},
  booktitle={Physics Letters A},
  volume={381},
  number={8},
  pages={756-761},
  year={2017},
}
Pavel Exner, Vladimir Lotoreichik, and Milo Tater. Spectral and resonance properties of the Smilansky Hamiltonian. 2017. Vol. 381. In Physics Letters A. pp.756-761. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020134553905493774.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved