  Making use of the Bogoliubov-de Gennes equation for the d-wave
superconductors, we investigate the quasi-particle spectrum around a single
vortex. Taking $p_F\xi=10$, we found that there are bound states which are
localized around the vortex core, and extended states which are rather uniform,
for $|E|<\Delta$ where $E$ is the quasi-particle energy and $\Delta$ is the
asymptotic value of the order parameter for away from the vortex.
