Aspects of the ODE/IM correspondence

2004/11/05 by Patrick Dorey, Clare Dunning, Dorey, Patrick +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0411069

15 pages, 12 figures. Contribution to the Proceedings ``Recent Trends in Exponential Asymptotics", June 28 - July 2 (2004), RIMS, Kyoto

arxiv created 2004/11/05 · arxiv updated 2009/12/01

Abstract

We review a surprising correspondence between certain two-dimensional integrable models and the spectral theory of ordinary differential equations. Particular emphasis is given to the relevance of this correspondence to certain problems in PT-symmetric quantum mechanics.

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• The ODE/IM correspondence and PT-symmetric quantum mechanics
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• ABCD and ODEs
• Differential equations and the Bethe ansatz
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