Non-commutative geometry and exactly solvable systems
| dc.creator | Langmann, Edwin | |
| dc.date | 2007-10-31 | |
| dc.date.accessioned | 2026-07-07T11:12:49Z | |
| dc.date.available | 2026-07-07T11:12:49Z | |
| dc.description | 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. | |
| dc.description | Contribution to the "International Conference on Noncommutative Geometry and Physics", April 2007, Orsay (France) | |
| dc.identifier | https://arxiv.org/abs/0710.5859 | |
| dc.identifier | http://arxiv.org/abs/0710.5859 | |
| dc.identifier | J.Phys.Conf.Ser.103:012015,2008 | |
| dc.identifier | doi:10.1088/1742-6596/103/1/012015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/191505 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81R60; 81R12; 81V70 | |
| dc.title | Non-commutative geometry and exactly solvable systems | |
| dc.type | text |