  In a two dimensional free electron gas (2DEG) subjected to a perpendicular
spatially varying magnetic field, the classical paths of electrons are
snake-like trajectories that weave along the line where the field crosses zero.
But quantum mechanically this system is described by a symmetric double well
potential which, for low excitations, leads to very different electron
behavior. We compute the spectrum, as well as the wavefunctions, for states of
definite parity in the limit of nearly degenerate states, i.e. for electrons
sufficiently far from the $B_z=0$ line. Transitions between the states are
shown to give rise to a tunneling current. If the well is made asymmetrical by
a time-dependent parity breaking perturbation then Rabi-like oscillations
between parity states occur. Resonances can be excited and used to stimulate
the transfer of electrons from one side of the potential barrier to the other
through quantum tunneling.
