Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-12-15
J. Phys. A 37 (2004) L497-L504 (final version)
Physics
Condensed Matter
Statistical Mechanics
9 pages, 1 figure. This revised version makes contact with earlier work of Gaudin and clarifies the link to the BCS pairing mo
Scientific paper
10.1088/0305-4470/37/42/L01
The Bethe roots describing the ground state energy of the integrable 1D model of interacting bosons with weakly repulsive two-body delta interactions are seen to satisfy the set of Richardson equations appearing in the strong coupling limit of an integrable BCS pairing model. The BCS model describes boson-boson interactions with zero centre of mass momentum of pairs. It follows that the Bethe roots of the weakly interacting boson model are given by the zeros of Laguerre polynomials. The ground state energy and the lowest excitation are obtained explicitly via the Bethe roots. A direct link has thus been established, in the context of integrable 1D models, between bosons interacting via weakly repulsive two-body delta-interactions and strongly interacting Cooper pairs of bosons.
Batchelor Murray T.
Guan X.-W.
McGuire J. B.
No associations
LandOfFree
Ground state of one-dimensional bosons with delta interaction: link to the BCS model 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 Ground state of one-dimensional bosons with delta interaction: link to the BCS model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ground state of one-dimensional bosons with delta interaction: link to the BCS model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-510825