A semi-classical inverse problem I: Taylor expansions

Details A semi-classical inverse problem I: Taylor expansions A semi-classical inverse problem I: Taylor expansions

2008-02-12

arxiv.org/abs/0802.1605v1

Physics

Mathematical Physics

15 pages

Scientific paper

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 Schr\"odinger operator near the
corresponding critical value.

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