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Convergence of an exact quantization scheme

Artur Avila
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Abstract

It has been shown by Voros \cite {V} that the spectrum of the one-dimensional homogeneous anharmonic oscillator (Schrödinger operator with potential $q^{2M}$, $M>1$) is a fixed point of an explicit non-linear transformation. We show that this fixed point is globally and exponentially attractive in spaces of properly normalized sequences.

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Artur Avila. 2003-06-13. Convergence of an exact quantization scheme. https://doi.org/10.1007/s00220-004-1112-9

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