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X-WR-CALNAME:CMM
X-WR-CALDESC:Centro de Modelamiento Matemático
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TZOFFSETFROM:-0400
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DTSTART:20260531T044025
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UID:MEC-1df64c19fa4f76fbadec9f6db0cdfcb5@cmm.uchile.cl
DTSTART;TZID=America/Santiago:20260526T140000
DTEND;TZID=America/Santiago:20260526T160000
DTSTAMP:20260520T135219Z
CREATED:20260520
LAST-MODIFIED:20260520
PRIORITY:5
SEQUENCE:2
TRANSP:OPAQUE
SUMMARY:SIPo: Spectral Stability in the one-dimensional nonlinear Dirac equation with Soler-type nonlinearity
DESCRIPTION:Abstract:\nWe study the spectral properties of the Dirac operator L_0 obtained by linearizing the one-dimensional Soler model around standing waves with power nonlinearity f(s) = s|s|^{p-1}, p > 0. We give a sharp characterization of the spectral gap. If p ≥ 1, the gap contains no eigenvalues other than the symmetry-induced energies -2ω and 0. If 0 < p < 1, additional eigenvalues bifurcate from the thresholds of the essential spectrum and enter the gap. We further prove that the thresholds are never eigenvalues for any p > 0 and that there are no resonances for p > 1.\nSpeaker: Danko Aldunate (CMM, U. de Chile)\n \n
URL:https://www.cmm.uchile.cl/events/sipo-spectral-stability-in-the-one-dimensional-nonlinear-dirac-equation-with-soler-type-nonlinearity/
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CATEGORIES:Seminarios
LOCATION:Sala John Von Neumann, 7th floor, Beauchef 851
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