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Differential equations and the Bethe ansatz

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arxiv hep-th/0309054 v1 pith:J3DC4HUF submitted 2003-09-04 hep-th

Differential equations and the Bethe ansatz

classification hep-th
keywords differentialequationsquantumansatzapplicationbeenbethecertain
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We review some surprising links which have been discovered in the last few years between the theory of certain ordinary differential equations, and particular integrable lattice models and quantum field theories in two dimensions. An application of this correspondence to a problem in non-Hermitian (PT-symmetric) quantum mechanics is also discussed.

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