Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Gastvortrag

 

Professor Dr. Harry Yserentant
Technische Universität Berlin
 
spricht am
 
Donnerstag, 26. Juni 2025
 
um
 
10:00 Uhr
 
im
 
Raum 1309 (I2)
 
über das Thema:
 

»The regularity of electronic wave functions in Baron spaces «

Abstract:
The electronic Schrödinger equation describes the motion of N electrons under Coulomb interaction forces in a field of clamped nuclei. It is fundamental to our understanding of chemistry. The solutions of this equation, the electronic wave functions, are high-dimensional objects. They depend on 3N variables, three associated with the position of each of the N electrons in space. Inspired by the extensive recent work on the approximation properties of neural networks, the talk deals with the regularity of these wave functions in Barron spaces. It is shown that they lie in the spectral Barron spaces Bs(R3N) for s < 1. The example of the hydrogen ground state shows that this result cannot be improved. H. Yserentant, The regularity of electronic wave functions in Barron spaces; arXiv:2502.17950

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. André Uschmajew


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