A semi-classical inverse problem I: Taylor expansions

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In dimension 1, we show that the Taylor expansion of a potential near a generic non degenerate critical point can be recovered from the knowledge of the semi-classical spectrum of the associated Schrödinger operator near the corresponding critical value.
15 pages

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Mathematical Physics, Analysis of PDEs, Spectral Theory, 34E20, 81Q10, 81Q20

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http://salesiana.dossiersoluciones.com/handle/123456789/154652

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.1605
 http://arxiv.org/abs/0802.1605

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arXiv