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SUMMARY:Vladimir Lotoreichik (Nuclear Physics Institute CAS)
DTSTART:20201208T134500Z
DTEND:20201208T144500Z
DTSTAMP:20260412T205429Z
UID:qc_seminar/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/qc_seminar/4
 /">Szegö-type inequality for the 2-D Dirac operator with infinite mass bo
 undary conditions</a>\nby Vladimir Lotoreichik (Nuclear Physics Institute 
 CAS) as part of Quantum Circle\n\n\nAbstract\nIn this talk\, we will discu
 ss spectral features of the Dirac operator with infinite mass boundary con
 ditions in a smooth bounded domain of $\\mathbb{R}^2$. Motivated by spectr
 al geometric inequalities\, we derive a non-linear variational formulation
  to characterize its principal  eigenvalue. This characterization turns ou
 t to be very robust and allows for a simple proof of a Szeg\\H{o} type ine
 quality as well as a new reformulation of a Faber-Krahn type inequality fo
 r this operator. We will also present strong numerical evidence supporting
  the validity of a Faber-Krahn type inequality.\n\nThis talk is based on a
  joint work with Pedro Antunes\, Rafael Benguria\, and Thomas Ourmi\\`{e}r
 es-Bonafos.\n
LOCATION:https://researchseminars.org/talk/qc_seminar/4/
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