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SUMMARY:Scattering resonances as viscosity limits - Maciej Zworski
DTSTART:20150928T140000Z
DTEND:20150928T150000Z
UID:TALK61115@talks.cam.ac.uk
CONTACT:Harsha Hutridurga
DESCRIPTION:In practically all situations scattering resonances can be def
 ined as\nlimits of L2 eigenvalues of operators which regularize the Hamilt
 onian at infinity. For instance\, Pollicott–Ruelle resonances\nin the th
 eory of dynamical systems are given by viscosity limits:\nadding a Laplaci
 an\nto the generator of an Anosov flow gives an operator with a discrete\n
 spectrum\; letting\nthe coupling constant go to zero turns eigenvalues int
 o the resonances\n(joint work with S. Dyatlov).\nThis principle seems to a
 pply in all other settings where resonances\ncan be defined\nand I will ex
 plain it in the simplest case of scattering by compactly\nsupported potent
 ials. The method has also been numerically investigated in\nthe chemistry 
 literature as an alternative to complex scaling.
LOCATION:CMS\, MR4 (note unusual location)
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