Prof. Emilio Carlos de Lucca Junior - Associate Professor at Institute of Chemistry – University of Campinas
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\r\nIn this talk, we study the effect of extracting a truncated Jastrow factor designed to capture the leading coalescence singularities while preserving the asymptotic behavior of the wave function at infinity. We show that the resulting quotient gains one full order of spectral Barron regularity: whereas the original wave function typically belongs to spaces of order (s<1), the Jastrow quotient belongs to those of order (s<2). An explicit hydrogenic example shows that the threshold (s=2) is natural.
\r\nThe proof relies on conjugating the Hamiltonian by the Jastrow factor and carrying out a global Fourier-space analysis. It combines resolvent estimates, precise control of singular coefficients, and a fixed-point argument separating low and high frequencies.
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\r\nThe electronic structure reading group brings together researchers and students interested in mathematical aspects of electronic structure problems and adjacent topics, including:\r\n
Thesis Director: Prof. V. Panaretos,
\r\nMathematics doctoral program
\r\nThesis Nr. 11953
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\r\nTo take part in the public defense, please contact directly the speaker