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UID:news1466@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20230305T211240
DTSTART;TZID=Europe/Zurich:20230315T141500
SUMMARY:Seminar Analysis and Mathematical Physics: Federico Cacciafesta (Un
 iversity of Padova) 
DESCRIPTION:The Dirac equation is one of the fundamental equations in relat
 ivistic quantum mechanics\, widely used in a large number of applications 
 from physics to quantum chemistry. The aim of this talk will be to discuss
  some recent results\, together with a number of open questions\, concerni
 ng the dynamics for this model: after briefly reviewing the main propertie
 s of the Dirac operator and providing some background and motivations from
  the theory of linear dispersive PDEs\, we shall focus in particular on th
 e cases of the Dirac-Coulomb equation and of the Dirac equation on non fla
 t manifolds\, showing how some linear estimates (in particular\, Strichart
 z estimates) can be obtained by exploiting various properties of the opera
 tor.
X-ALT-DESC:<p>The Dirac equation is one of the fundamental equations in rel
 ativistic quantum mechanics\, widely used in a large number of application
 s from physics to quantum chemistry. The aim of this talk will be to discu
 ss some recent results\, together with a number of open questions\, concer
 ning the dynamics for this model: after briefly reviewing the main propert
 ies of the Dirac operator and providing some background and motivations fr
 om the theory of linear dispersive PDEs\, we shall focus in particular on 
 the cases of the Dirac-Coulomb equation and of the Dirac equation on non f
 lat manifolds\, showing how some linear estimates (in particular\, Stricha
 rtz estimates) can be obtained by exploiting various properties of the ope
 rator.</p>
DTEND;TZID=Europe/Zurich:20230315T161500
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