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DTSTART:20240331T030000
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DTSTAMP:20241108T153756Z
UID:64b9491b15a9b629037551@ist.ac.at
DTSTART:20240618T163000
DTEND:20240618T173000
DESCRIPTION:Speaker: Christiaan van de Ven\nhosted by Robert Seiringer\nAbs
tract: In this seminar I present a study on the dynamics of classical infi
nite particle systems describing harmonic oscillators interacting with arb
itrarily many neighbors on lattices\, as well on more general structures\;
and I show that this enables the construction of C*-dynamical systems. Th
is approach allows particles with varying masses\, varying frequencies\, i
rregularly placed lattice sites and varying interactions subject to a simp
le summability constraint. A key role is played by the commutative resolve
nt algebra\, which is a C*-algebra of bounded continuous functions on an i
nfinite dimensional vector space\, and in a strong sense the classical lim
it of the Buchholz-Grundling resolvent algebra\, which suggests that quant
um analogs of our results are likely to exist. For a general class of Hami
ltonian dynamics\, it is demonstrated that this algebra is time-stable\, a
nd admits a time-stable sub-algebra on which the dynamics is strongly cont
inuous\, therefore obtaining a C*-dynamical system. Joint work with van Nu
land (TU Delft)
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Christiaan van de Ven: Classical dynamics of infinite particle syst
ems in an operator algebraic framework
URL:https://talks-calendar.ista.ac.at/events/4975
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