3 problems
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Conjecture on contractive reduced chain dynamics for polynomial Schrödinger equations
Contractive chain-dynamics conjecture. The exact quantization conditions should specify reduced chain dynamics that can be stable (contractive) and thereby determine the exact quan…
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The naive analyticity conjecture for TBA equations with singular potentials
Consider a potential for which the roots of are positive, distinct, and ordered as … Let the TBA equations be obtained by assuming that the logarithms of the r…
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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: