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5 papers · 2 filters
From modular invariants to graphs: the modular splitting method
E. Isasi, Gil Schieber
We start with a given modular invariant M of a two dimensional su(n)_k conformal field theory (CFT) and present a general method for solving the Ocneanu modular splitting equation…
Vortices and Magnetization in Kac's Model
Hicham El-Bouanani, Michel Rouleux
We consider a 2-dimensional planar rotator on a large, but finite lattice with a ferromagnetic Kac potential , with compact support. The system is subject to b…
Diamagnetic expansions for perfect quantum gases
Philippe Briet, Horia D. Cornean, Delphine Louis
In this work we study the diamagnetic properties of a perfect quantum gas in the presence of a constant magnetic field of intensity . We investigate the Gibbs semigroup associat…
Bose-Einstein Condensation in the Luttinger-Sy Model
Olivier Lenoble, Valentin Zagrebnov
We present a rigorous study of the Bose-Einstein condensation in the Luttinger-Sy model. We prove the existence of the condensation in this one-dimensional model of the perfect bos…
Effective models for excitons in carbon nanotubes
Horia D. Cornean, Pierre Duclos, Benjamin Ricaud
We analyse the low lying spectrum of a model of excitons in carbon nanotubes. Consider two particles with an attractive Coulomb self-interaction, placed on an infinitely long cylin…