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SUMMARY:Mathieu Lewin
DTSTART:20200616T141500Z
DTEND:20200616T151500Z
DTSTAMP:20260423T052620Z
UID:MAS-MP/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAS-MP/6/">T
 he eigenvalues of one-particle Dirac operator with general charge distribu
 tions</a>\nby Mathieu Lewin as part of Munich-Copenhagen-Santiago Mathemat
 ical Physics seminar\n\n\nAbstract\nFor heavy atoms and molecules\, relati
 vistic effects have to be taken into account. The most precise option is t
 o use the Dirac operator\, but it is then notoriously difficult to include
  Coulomb potentials\, which scale the same as the kinetic energy. In this 
 talk I will discuss one-particle Dirac operators with the potential induce
 d by an arbitrary charge distribution. I will particularly focus on min-ma
 x formulas for the eigenvalues and on an important conjecture about the op
 timality of the first Dirac eigenvalue. If true\, this conjecture would ha
 ve an impact on the shape of the potential energy surface of molecules in 
 Dirac theory.\n
LOCATION:https://researchseminars.org/talk/MAS-MP/6/
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