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Rectifiable PT-symmetric Quantum Toboggans with Two Branch Points

arXiv
Authors: Miloslav Znojil

Year

2010

Paper ID

9067

Status

Preprint

Abstract Read

~2 min

Abstract Words

56

Citations

N/A

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.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • Certain complex-contour (a.k.a.

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