Title：Thermodynamic Bethe ansatz equations and resurgent Quantum Mechanics

Speaker：Hongfei Shu Tokyo Institute of Technology

Time：April 24, 2019 (Wednesday) 9:30 am

Venue：333 Lecture Hall, Physics Building

Abstract：

In this talk, we derive a system of Thermodynamic Bethe ansatz (TBA) equations governing the exact WKB periods in one-dimensional Quantum Mechanics with arbitrary polynomial potentials. These equations provide a generalization of the ODE/IM correspondence, and can be regarded as the solution of a Riemann-Hilbert problem in resurgent Quantum Mechanics formulated by Voros. We also show that our TBA equations, combined with exact quantization conditions, provide a powerful method to solve spectral problems in Quantum Mechanics. We illustrate our general analysis with a detailed study of cubic oscillators and quartic oscillators. This talk is based on the work with Katsushi Ito and Marcos Marino [arXiv: 1811.04812].

Brief Bio:

Dr. Hongfei Shu obtained his B.S. at Tokyo Institute of Technology in Japan in 2014, MS in Tokyo Institute of Technology (Prof. Katsushi Ito’s group, Japan) in 2016, and completed his Ph.D. in Tokyo Institute of Technology (Prof. Katsushi Ito’s group, Japan) in 2019. He will move to Nordita Sweden in this fall as postdoc. He received JSPS Research Fellowship for Young Scientists from 2017 to 2019. Currently, he is a special postdoc researcher in Tokyo Institute of Technology. His research interest includes Integrability, N=2 Gauge theory and AdS/CFT correspondence.