Non-commutative geometry and exactly solvable systems

Details Non-commutative geometry and exactly solvable systems Non-commutative geometry and exactly solvable systems

2007-10-31

arxiv.org/abs/0710.5859v1

J.Phys.Conf.Ser.103:012015,2008

Physics

Mathematical Physics

Contribution to the "International Conference on Noncommutative Geometry and Physics", April 2007, Orsay (France)

Scientific paper

10.1088/1742-6596/103/1/012015

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.

Affiliated with

Also associated with

No associations

Rating

Non-commutative geometry and exactly solvable systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-commutative geometry and exactly solvable systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-commutative geometry and exactly solvable systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-14641