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SUMMARY:Severin Schraven (TU Munich)
DTSTART:20240527T131500Z
DTEND:20240527T140000Z
DTSTAMP:20260423T021301Z
UID:MAS-MP/74
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAS-MP/74/">
 Two-sided Lieb-Thirring Bounds</a>\nby Severin Schraven (TU Munich) as par
 t of Munich-Copenhagen-Santiago Mathematical Physics seminar\n\n\nAbstract
 \nWe discuss upper and lower bounds for the number of eigenvalues of semi-
 bounded Schrödinger\noperators in all spatial dimensions. For atomic Hami
 ltonians with Kato potentials one can\nstrengthen the result to obtain two
 -sided estimates for the sum of the negative eigenvalues.\nInstead of bein
 g in terms of the potential itself\, as in the usual Lieb-Thirring result\
 , the bounds\nare in terms of the landscape function\, also known as the t
 orsion function\, which is a solution\nof $(−\\Delta + V +M)u_M = 1$ in 
 ${\\mathbb R}^d$\; here $M \\in {\\mathbb R}$ is chosen so that the operat
 or is positive.\nThis talk is based on the preprint arXiv:2403.19023 which
  is joint work with S. Bachmann\nand R. Froese.\n
LOCATION:https://researchseminars.org/talk/MAS-MP/74/
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