Quantum toboggans: models exhibiting a multisheeted PT symmetry

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Znojil, Miloslav
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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.
Comment: 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
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Quantum Physics
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