By means of scanning tunneling microscopy we observe the lateral confi
nement of the two-dimensional electron gas of a s,p-like surface state
by a regular distribution of steps on vicinal Cu(111). The surface st
ate appears with a reduced binding energy as a result of scattering at
steps and partial confinement within the terraces, as revealed by loc
al scanning tunneling spectroscopy. The energy shift of the bottom of
the surface state band is measured for several vicinal Cu surfaces wit
h angle-resolved photoemission and found to be consistent with a simpl
e one-dimensional Kronig-Penney model.