Quantum toboggans

Details Quantum toboggans Quantum toboggans

2005-02-07

arxiv.org/abs/quant-ph/0502041v1

Phys.Lett.A342:36-47,2005

Physics

Quantum Physics

17 pp., 7 figures

Scientific paper

10.1016/J.PHYSLETA.2005.05.029

Among all the PT-symmetric potentials defined on complex coordinate contours C(s), the name "quantum toboggan" is reserved for those whose C(s) winds around a singularity and lives on at least two different Riemann sheets. An enriched menu of prospective phenomenological models is then obtainable via the mere changes of variables. We pay thorough attention to the harmonic oscillator example with a fractional screening and emphasize the role of the existence and invariance of its quasi-exact states for different tobogganic C(s).

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