The three-dimensional localization of a single ion to the Lamb-Dicke l
imit in a radio-frequency trap has been combined with the technique of
heterodyne detection to provide high-resolution spectroscopy of the f
luorescent light of the ion. A coherent component with a linewidth of
0.7 Hz, corresponding to elastic scattering of the incident laser ligh
t, was observed in the heterodyne signal. The method may be extended t
o observe the narrow sidebands related to the secular motion in the tr
ap, yielding information on the dynamics of the ion. Quantum propertie
s of the fluorescent radiation can be detected by probing higher order
field correlations. As an example we investigated the phenomenon of a
ntibunching which appears as intensity anticorrelations of the emitted
radiation. A measurement of intensity crosscorrelations of the fluore
scent light superimposed with a weak local oscillator is expected to p
ermit the observation of squeezing in the resonance fluorescence of a
single ion.