Quantum toboggans with two branch points

Abstract

Wave functions describing quantum toboggans with two branch points (QT2) are defined along complex contours of coordinates which spiral around these branch points. The classification of QT2 is found in terms of certain ``winding descriptors" $\varrho$. A mapping $x^{(\varrho )}(s)\to y^{(0)}(s)$ is then presented which rectifies the contours for a subset of the simplest $\varrho ={\varrho }_0$.

19pp, 3 figs, presented also as a part of the lecture for QTS-5 conference in Valladolid, Spain, during July 22-28, 2007 (see its webpage http://tristan.fam.cie.uva.es/qts5)

Cited by in corpus (3)

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