TY - JOUR
T1 - Role of scaling limits in the rigorous analysis of Bose-Einstein condensation
JF - J. Math. Phys. 48 (2007) 102102
Y1 - 2007
A1 - Alessandro Michelangeli
AB - In the context of the rigorous analysis of Bose-Einstein condensation, recent achievements have been obtained in the form of asymptotic results when some appropriate scaling is performed in the Hamiltonian, and the limit of infinite number of particles is taken. In particular, two modified thermodynamic limits of infinite dilution turned out to provide an insight in this analysis, the so-\\ncalled Gross-Pitaevskii limit and the related Tomas-Fermi limit. Here such scalings are discussed with respect to their physical and mathematical motivations, and to the currently known results obtained within this framework.
UR - http://hdl.handle.net/1963/1984
U1 - 2212
U2 - Mathematics
U3 - Mathematical Physics
ER -