2022-11-14

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*Title: TBA [#ae34646a]
*Title: Exact WKB analysis [#ae34646a]

**Speaker: Koki Tokeshi [#wd5165df]

TBA
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.