Room 327

1-D Quantum Mechanics and the TBA equations

Adarsh Sudhakar

IMSc

The talk will be based on the paper "TBA Equations and Resurgent Quantum
Mechanics" by Ito et al., 2019.

Associated to the 1-D Schrodinger equation with polynomial potential is a
Y-system, which may then be converted into a set of Thermodynamic Bethe
Ansatz (TBA) equations. This can be thought of as a generalisation of one
of the early proposals of the ODE/IM correspondence. It turns out that the
solution to this TBA system encodes information about the borel-resummed
WKB periods.