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On the Resurgent WKB Analysis

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No logo availableInstitut des Hautes Études Scientifiques (IHÉS)
 Sauzin, David Fauvet, Frédéric Schiappa, Ricardo

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On the Resurgent WKB Analysis
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20
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CC Attribution 3.0 Unported:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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I will report on a work in progress with F. FAUVET (Université de Strasbourg)and R. SCHIAPPA (University of Lisbon) about the WKB formal expansions solutions to the 1D stationary Schrödinger equation with polynomial coefficients. Our emphasis is on the coequational resurgent structure, in the sense of J. ÉCALLE, which is a way of using the singularity structure in the Borel plane to access the connection formulae for the WKB solutions and the Voros data.
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