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SUMMARY:Shiwen Zhang (University of Minnesota)
DTSTART:20210415T170000Z
DTEND:20210415T180000Z
DTSTAMP:20260423T040038Z
UID:Thouless/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Thouless/11/
 ">Approximating the Ground State Eigenvalue via the Landscape Potential</a
 >\nby Shiwen Zhang (University of Minnesota) as part of UCI Mathematical P
 hysics\n\n\nAbstract\nIn this talk\, we study the ground state energy of a
  Schroedinger operator and its relation to the landscape potential. For th
 e 1-d Bernoulli Anderson model\, we show that the ratio of the ground stat
 e energy and the minimum of the landscape potential approaches $\\pi^2/8$ 
 as the domain size approaches infinity. We then discuss some numerical sti
 mulations and conjectures for excited states and for other random potentia
 ls. The talk is based on joint work with I. Chenn and W. Wang.\n
LOCATION:https://researchseminars.org/talk/Thouless/11/
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