  We calculate analytically the exact dynamical response of a droplet of N
interacting electrons in a quantum dot with an arbitrarily time-dependent
parabolic confinement potential \omega(t) and a perpendicular magnetic field.
We find that, for certain frequency ranges, a sinusoidal perturbation acts like
an attractive effective interaction between electrons. In the absence of a
time-averaged confinement potential, the N electrons can bind together to form
a stable, free-standing droplet.
