The Bender-Wu Analysis and the Voros Theory
In their pioneering work [BW], Bender and Wu presented the secular equation for anharmonic oscillators ([BW], (F.56)~(F.58) in p. 1257), which was supported by their ingenious WKB analysis. As we shall discuss in our forthcoming article, we can validate their conjecture by Voros’ epoch-making article [V]. At the same time several ideas contained in [BW] can be effectively employed to understand the Voros theory from the viewpoint of (micro)differential operators, and this is what we report here.
KeywordsHolomorphic Function Formal Series Singular Part Anharmonic Oscillator Schwarzian Derivative
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