  By introducing concepts of beam shaping into quantum mechanics, we show how
interference effects of the quantum wavefunction describing multiple electrons
can exactly balance the repulsion among the electrons. With proper shaping of
the fermionic wavefunction, we propose non-diffracting quantum wavepackets of
multiple electrons that can also carry orbital angular momentum, in the form of
multi-electron non-diffracting vortex beams. The wavefunction is designed to
compensate for both the repulsion between electrons and for the
diffraction-broadening. This wavefunction shaping facilitates the use of
electron beams of higher current in numerous applications, thereby improving
the signal-to-noise-ratio in electron microscopy and related systems without
compromising on the spatial resolution. Our scheme potentially applies for any
beams of charged particles, such as protons, muons and ion beams.
