Quantum toboggans: models exhibiting a multisheeted PT symmetry
Quantum Physics
2009-09-30 v1
Abstract
A generalization of the concept of PT-symmetric Hamiltonians H=p^2+V(x) is described. It uses analytic potentials V(x) (with singularities) and a generalized concept of PT-symmetric asymptotic boundary conditions. Nontrivial toboggans are defined as integrated along topologically nontrivial paths of coordinates running over several Riemann sheets of wave functions.
Keywords
Cite
@article{arxiv.0710.1485,
title = {Quantum toboggans: models exhibiting a multisheeted PT symmetry},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:0710.1485},
year = {2009}
}
Comments
16 pp, 5 figs. Written version of the talk given during 5th International Symposium on Quantum Theory and Symmetries, University of Valladolid, Spain, July 22 - 28 2007, webpage http://tristan.fam.uva.es/~qts5