Exact WKB Analysis of Schrödinger Equations with a Stokes Curve of Loop Type

DOI Web Site 3 Citations 14 References

Description

<p>Stokes phenomena with respect to a large parameter are investigated for Shrödinger-type ordinary differential equations having a Stokes curve of loop-type. For this purpose, we employ a Bessel-type equation as a canonical form and compute the Voros coefficient of the equation. Combining the formula describing the Stokes automorphism for the Voros coefficient and the formal coordinate transformation connecting the Shrödinger-type equation and the Bessel-type equation, we have some formulas describing the action of alien derivatives and Stokes automorphism for WKB solutions of the Shrödinger-type equation.</p>

Journal

  • Funkcialaj Ekvacioj

    Funkcialaj Ekvacioj 62 (1), 1-34, 2019

    Division of Functional Equations, The Mathematical Society of Japan

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