MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane

Sergio A Albeverio Pavel Exner VA Geyler

TBD mathscidoc:1910.43158

Letters in Mathematical physics, 55, (1), 9-16, 2001.1
We consider a charged quantum particle living in the Lobachevsky plane and interacting with a homogeneous magnetic field perpendicular to the plane and a point interaction which is transported adiabatically along a closed loop \mathcal{C} in the plane. We show that the bound-state eigenfunction acquires at that the Berry phase equal to 2 times the number of the flux quanta through the area encircled by \mathcal{C} .
No keywords uploaded!
[ Download ] [ 2019-10-20 13:18:02 uploaded by Pavel_Exner ] [ 490 downloads ] [ 0 comments ] 
@inproceedings{sergio2001geometric,
  title={Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane},
  author={Sergio A Albeverio, Pavel Exner, and VA Geyler},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020131803033220687},
  booktitle={Letters in Mathematical physics},
  volume={55},
  number={1},
  pages={9-16},
  year={2001},
}
Sergio A Albeverio, Pavel Exner, and VA Geyler. Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane. 2001. Vol. 55. In Letters in Mathematical physics. pp.9-16. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020131803033220687.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved