High energy inelastic neutron scattering has been performed on a singl
e crystal of La1.85Sr0.15CuO4 (Tc=37K) by using pulse neutron techniqu
e. The whole spectrum of the quantum magnetic excitation in the wide r
ange of the energy-momentum space has been clearly observed for the fi
rst time. The shape of the spectrum is very broad and continuous and t
he excitation persists up to 280meV above the well known incommensurat
e magnetic excitation around (pi, pi, 0).