3 problems

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Borel summability conjecture for the WKB expansion of quantum-mechanical eigenvalues
Borel resummation conjecture. The Borel resummation of the WKB expansion reproduces the exact values:
Conjectureopenborel-summation exact-quantization wkbarXiv posted 2 days ago
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Conjecture on the $O(N^{-2})$ accuracy of WKB eigenvalues
Let $\lambda_{N,k}^{\mathrm{wkb}}$ be the WKB eigenvalues given by the Bohr–Sommerfeld quantization condition, and let $\lambda_{N,k}$ denote the true eigenvalues of the Zakharov–S…
Conjectureopensemiclassical-analysis wkb zakharov-shabat-problemarXiv posted 2 days ago
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Optimal exponential-decay constant for the large- $R$ asymptotics
Optimal-decay-constant conjecture. The optimal value of $c$ is
Conjectureopenasymptotic-analysis hitchin-systems wkbarXiv posted 2 days ago

Borel summability conjecture for the WKB expansion of quantum-mechanical eigenvalues