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Exact WKB Analysis and Resurgence
Can we access PT symmetric QMs from Hermitian QMs, and vice versa?
Can we access PT symmetric QMs from Hermitian QMs, and vice versa?
Organizers
Speaker
Syo Kamata
Time
Thursday, May 8, 2025 2:00 PM - 3:30 PM
Venue
A3-2a-302
Online
Zoom 482 240 1589
(BIMSA)
Abstract
Although PT symmetric QM is a kind of non-Hermitian theory, it has some similarities with Hermitian QMs due to pseudo-Hermiticity. We consider the accessibility of PT symmetric QMs from Hermitian QMs defined by a simple potential, and vice versa. The Ai-Bender-Sarkar conjecture, which is a relation between D-dimensional PT symmetric theories and the analytic continuation of Hermitian theories in terms of the energy spectrum or the Euclidean partition function, is a key formula for this purpose, and we formulate the one-dimensional case by using exact WKB analysis. If time permits, we briefly show some relations of spectral zeta functions between the massless PT and the Hermitian QMs constructed by the ODE/IM correspondence. (This talk is online.)