Quantum toboggans: models exhibiting a multisheeted PT symmetry
Abstract
A generalization of the concept of PT-symmetric Hamiltonians H=p2+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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