Quantum toboggans: models exhibiting a multisheeted PT symmetry

Details Quantum toboggans: models exhibiting a multisheeted PT symmetry Quantum toboggans: models exhibiting a multisheeted PT symmetry

2007-10-08

arxiv.org/abs/0710.1485v1

J. Phys.: Conference Series 128 (2008) 012046 (12pp)

Physics

Quantum Physics

16 pp, 5 figs. Written version of the talk given during 5th International Symposium on Quantum Theory and Symmetries, Universi

Scientific paper

10.1088/1742-6596/128/1/012046

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.

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