Weyl and Weyl picture of Quantum mechanics. An inverse problem for the Schrodinger operator

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2010-08-02
Authors
Augusto Gerolin
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<p>The goal of this talk is well pose and solve the following semi-classical inverse problem: The potential V(x) in the Schrödinger operator can be recovered, under some weak genericity assumptions, from the spectrum of modulo . This work is a simplified version of a Seismology problem studied by Colin de Verdiere, M. Campillo and all. We will discuss about that motivation and we show the main ideas of a constructive proof by the previous problem.</p>
<p>The goal of this talk is well pose and solve the following semi-classical inverse problem: The potential V(x) in the Schrödinger operator can be recovered, under some weak genericity assumptions, from the spectrum of modulo . This work is a simplified version of a Seismology problem studied by Colin de Verdiere, M. Campillo and all. We will discuss about that motivation and we show the main ideas of a constructive proof by the previous problem.</p>
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