  Momentum resolved magneto-tunnelling spectroscopy is performed at a single
sharp quantum Hall edge. We directly probe the structure of individual integer
quantum Hall (QH) edge modes, and find that an epitaxially overgrown cleaved
edge realizes the sharp edge limit, where the Chklovskii picture relevant for
soft etched or gated edges is no longer valid. The Fermi wavevector in the
probe quantum well probes the real-space position of the QH edge modes, and
reveals inter-channel distances smaller than both the magnetic length and the
Bohr radius. We quantitatively describe the lineshape of principal conductance
peaks and deduce an edge filling factor from their position consistent with the
bulk value. We observe features in the dispersion which are attributed to
fluctuations in the ground energy of the quantum Hall system.
