2007/08/01 by Miloslav Znojil · 13 citations
Mathematics · Physics and Astronomy · #Combinatorics #Geometry #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Spiral (railway) #quant-ph
paper · pdf · doi:10.1016/j.physleta.2007.07.072
published in Physics Letters A 372(5), 584-590 (Elsevier BV) · 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)
arxiv created 2007/08/01 · openalex publication_date 2007/08/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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) → y(0)(s) is then presented which rectifies the contours for a subset of the simplest \varrho=\varrho0.