We report the observation of optical Ramsey fringes on the two-photon
1S-2S transition in atomic hydrogen with a pulsed temporal excitation
scheme. With this technique we have improved the spectral resolution o
f this transition to a linewidth of 800 Hz at 243 nm, corresponding to
6 parts in 10(13), setting a new record for neutral atoms. By applyin
g a large number of light pulses we observe sharply peaked lines in th
e spectrum rather than the sinusoidal pattern obtained with two excita
tion pulses.