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

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