On aspects of the ODE/IM correspondence

常微分方程/可积模型对应关系将某些薛定谔型常微分方程（和推广）与某些可积模型联系起来，现在有许多模型家族被纳入其中。因此，在任一方难以计算的量有时可以通过对应关系的另一方更容易地计算。该项目旨在探索开放的问题，包括概括，包括激发态的可积模型和与经典可积模型的联系。

The ordinary differential equation/integrable model correspondence relates certain ODEs of Schrodinger type (and generalisations) to certain integrable models, with many families of models now brought into the picture. Consequently hard-to-calculate quantities on either side may sometimes be calculated rather more easily via the other side of the correspondence. The project aims to explore open problems including the generalisation to encompass excited-states of the integrable models and links with classical integrable models.