Rectifiable PT-symmetric Quantum Toboggans with Two Branch Points

Details Rectifiable PT-symmetric Quantum Toboggans with Two Branch Points Rectifiable PT-symmetric Quantum Toboggans with Two Branch Points

2010-04-03

arxiv.org/abs/1004.0453v2

Acta Polytech.50:84-90,2010

Physics

Mathematical Physics

17 pages, 9 figures, amended text for proceedings of a meeting at: http://gemma.ujf.cas.cz/~znojil/conf/micromeetingsest.html

Scientific paper

Certain complex-contour (a.k.a. quantum-toboggan) generalizations of Schroedinger's bound-state problem are reviewed and studied in detail. Our key message is that the practical numerical solution of these atypical eigenvalue problems may perceivably be facilitated via an appropriate complex change of variables which maps their multi-sheeted complex domain of definition to a suitable single-sheeted complex plane.

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