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arXiv · 0710.1485

Quantum toboggans: models exhibiting a multisheeted PT symmetry

Miloslav Znojil
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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.

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Miloslav Znojil. 2007-10-08. Quantum toboggans: models exhibiting a multisheeted PT symmetry. https://doi.org/10.1088/1742-6596/128/1/012046

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