Rectifiable PT-symmetric Quantum Toboggans with Two Branch Points
Mathematical Physics
2011-02-15 v2 math.MP
Quantum Physics
Abstract
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.
Cite
@article{arxiv.1004.0453,
title = {Rectifiable PT-symmetric Quantum Toboggans with Two Branch Points},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:1004.0453},
year = {2011}
}
Comments
17 pages, 9 figures, amended text for proceedings of a meeting at: http://gemma.ujf.cas.cz/~znojil/conf/micromeetingsest.html