42 citations · 622 across the 80 of their papers we have counts for
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Generalized susceptibilities for a perfect quantum gas
Philippe Briet, Horia D. Cornean, Delphine Louis
The system we consider here is a charged fermions gas in the effective mass approximation, and in grand-canonical conditions. We assume that the particles are confined in a three d…
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…
On the Magnetization of a Charged Bose Gas in the Canonical Ensemble
Horia D. Cornean
Consider a charged Bose gas without self-interactions, confined in a three dimensional cubic box of side and subjected to a constant magnetic field . If the bulk…
Rigorous perturbation theory versus variational methods in the spectral study of carbon nanotubes
Horia D. Cornean, Thomas G. Pedersen, Benjamin Ricaud
Recent two-photon photo-luminescence experiments give accurate data for the ground and first excited excitonic energies at different nanotube radii. In this paper we compare the an…
On critical stability of three quantum charges interacting through delta potentials
Horia Decebal Cornean, Pierre Duclos, Benjamin Ricaud
We consider three one dimensional quantum, charged and spinless particles interacting through delta potentials. We derive sufficient conditions which guarantee the existence of at…
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…