1302.3357 (Pavel A. Andreev)

Non-integral form of the Gross-Pitaevskii equation for polarized
molecules    [PDF]

Pavel A. Andreev

The Gross-Pitaevskii equation for polarized molecules is an integro-differential equation, consequently it is complicated for solving. We are find possibility to represent it as a set of a non-integral nonlinear Schrodinger equation and a couple of linear equations. We recapture dispersion of collective excitations in three dimensional electrically polarized BEC with no evolution of electric dipole moment directions tracing contribution of electric dipole moment with explicit account of dipole moment in interaction constant of the short-range interaction. We show that spectrum of dipolar BEC reveals no instability at repulsive short-range interaction.

View original: http://arxiv.org/abs/1302.3357