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Non-commutative geometry and exactly solvable systems
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
2008 (English)In: INTERNATIONAL CONFERENCE ON NONCOMMUTATIVE GEOMETRY AND PHYSICS  / [ed] Wallet, J.C., 2008, Vol. 103Conference paper (Refereed)
Abstract [en]

I present the exact energy eigenstates and eigenvalues of a quantum many-body system of bosons on non-commutative space and in a harmonic oszillator confining potential at the selfdual point. I also argue that this exactly solvable system is a prototype model which provides a generalization of mean field theory taking into account non-trivial correlations which are peculiar to boson systems in two space dimensions and relevant in condensed matter physics. The prologue and epilogue contain a few remarks to relate my main story to recent developments in non-commutative quantum field theory and an addendum to our previous work together with Szabo and Zarembo on this latter subject.

Place, publisher, year, edition, pages
2008. Vol. 103
, Journal of Physics Conference Series, ISSN 1742-6588 ; 103
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-27986DOI: 10.1088/1742-6596/103/1/012015ISI: 000284325900015ScopusID: 2-s2.0-44649188515OAI: diva2:382669
International Conference on Non-Commutative Geometry and Physics Univ Paris, Orsay, FRANCE, APR 23-27, 2007
QC 20110103Available from: 2011-01-03 Created: 2011-01-03 Last updated: 2011-01-03Bibliographically approved

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