#### 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.

Done