2022-11-14

UTAPwiki/セミナー/初期宇宙・相対論速報

Title: Exact WKB analysis †

Speaker: Koki Tokeshi †

The Wentzel-Kramers-Brillouin (WKB) method is known to give an approximate solution for Schroedinger equation. However, such an asymptotic series diverges in general. In this talk, I will introduce the Borel resummation method and see that it gives the corresponding regular and converging expression. I will also discuss Stokes phenomena, from which we have the connection formula of the regular solutions between different regions.

[1] C. M. Bender and T. T. Wu, Phys. Rev., 184 (1969) 1231-1260.
[2] A. Voros, Ann. Inst. Henri Poincare, 39 (1983) 211-338.
[3] T. Kawai and Y. Takei, Algebraic analysis of singular perturbation theory.