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DTSTART:20230326T030000
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DTSTAMP:20230601T121513Z
UID:1685628900@ist.ac.at
DTSTART:20230601T161500
DTEND:20230601T171500
DESCRIPTION:Speaker: Martin Ravn\nhosted by Robert Seiringer\nAbstract: In
this talk we consider the correlation energy of a Fermi gas on a torus as
the particle number N goes to infinity\,with the interaction potential sca
led by a factor proportional to N^{-1/3}.In the second-quantized picture\,
the Hamiltonian of such a system can be written in the form of a quadrati
c Hamiltonian with respect to certain "quasi-bosonic" operators. By applyi
ng the theory of bosonic Bogolubov transformations\, this Hamiltonian can
be approximately diagonalized to yield a "bosonic contribution" to the cor
relation energy. For highly singular potentials\, such as the Coulomb pote
ntial\, the correlation energy also consists of an "exchange contribution"
due to the underlying fermionic nature of the system. We will see that th
is is nonetheless automatically captured by the same approach\, provided o
ne keeps careful track of the fermionic correction terms.Based on joint wo
rk with Christian Hainzl and Phan Thành Nam.
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA\,
ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Martin Ravn: The Correlation Energy of a Fermi Gas in the Mean-Fiel
d Regime
URL:https://talks-calendar.ista.ac.at/events/4170
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