  We consider the 3-dimensional nonlinear Schr\"{o}dinger equation (NLS) with
average nonlinearity. This is a limiting model of NLS with strong magnetic
confinement and a generalized model of the resonant system of NLS with a
partial harmonic oscillator in terms of nonlinear power. We provide a new proof
for the conservation law of kinetic energy and remove the restriction on
nonlinearity. Moreover, in the case of focusing, super-quintic, and sub-nonic,
we construct a new ground-state solution and classify the behavior of the
solutions below the ground state. We demonstrate a sharp threshold for
scattering and blow-up.
