Quantum knots
Abstract
We construct an exactly solvable example of Sturmian bound states which exist in the absence of any confining potential. Their origin is topological-these states are found to live on certain “knotted” contours C of complexified coordinates.
- Publication:
-
Physics Letters A
- Pub Date:
- May 2008
- DOI:
- 10.1016/j.physleta.2008.02.016
- arXiv:
- arXiv:0802.1318
- Bibcode:
- 2008PhLA..372.3591Z
- Keywords:
-
- 03.65.Ge;
- 11.10.Kk;
- 11.30.Na;
- 12.90.+b;
- Solutions of wave equations: bound states;
- Field theories in dimensions other than four;
- Nonlinear and dynamical symmetries;
- Miscellaneous theoretical ideas and models;
- Quantum Physics
- E-Print:
- 18 pp, 3 figs
