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V. I. Smirnov Seminar on Mathematical Physics
April 11, 2022 16:30, St. Petersburg, zoom online-conference
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Regularity of solutions for the Coulomb multi-particle Schroedinger equation, and the one-particle density matrix
A. V. Sobolev Department of Mathematics, University College London
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Abstract:
Regularity properties for multi-particle systems have been the focus of mathematical research since 1950’s. Such results determine spectral properties of the one-particle density matrix which is the key objects in the quantum-mechanical approximation schemes. In this talk I will give a short survey of recent regularity results with emphasis on sharp bounds for the eigenfunctions, and show how these bounds lead to the asymptotic formula for the eigenvalues of the one-particle density matrix.
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