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arxiv: math-ph/9910001 · v1 · pith:HCBDNNITnew · submitted 1999-10-01 · 🧮 math-ph · math.MP· quant-ph

Distributional Borel Summability of Odd Anharmonic Oscillators

classification 🧮 math-ph math.MPquant-ph
keywords anharmonicboreldistributionalassociateddivergenteigenvaluesexpansionsnaturally
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It is proved that the divergent Rayleigh-Schrodinger perturbation expansions for the eigenvalues of any odd anharmonic oscillator are Borel summable in the distributional sense to the resonances naturally associated with the system.

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