We calculate the two-photon 1S-2S spectrum of an atomic hydrogen Bose-Einst
ein condensate in the regime where the cold collision frequency shift domin
ates the line shape. Wentzel-Kramers-Brillouin and static phase approximati
ons are made to find the intensities for transitions from the condensate to
motional eigenstates for 2S atoms. The excited-state wave functions are fo
und using a mean field potential, which includes the effects of collisions
with condensate atoms. Results agree well with experimental data. This form
alism can be used to find condensate spectra for a wide range of excitation
schemes.