PT-symmetric knotting of coordinates: a new, topological mechanism of quantum confinement

Physics – Quantum Physics

Scientific paper

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16 pp incl 3 figures

Scientific paper

We construct an exactly solvable PT-symmetric example of Sturmian bound
states which exist in the absence of any confining potential. Their origin is
purely topological -- these states live on certain nontrivial contours of
complex coordinates.

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