The properties of a superconductor having an energy gap function
k(
n
) which is an odd function of frequency
n, or time, are investigated. One finds (a) the allowed pair orbital angular momenta for spin zero and spin one are interchanged, permitting
S= 0, l=1 and S=1, l=0 condensates; (b) there exists an equal-time order parameter corresponding to condensation of a spin wave coupled to two fermions, in contrast to the conventional timereversed fermion pair condensate; an explicit energy gap equation is derived for this composite operator condensate; (c) the coherence factors are shown to be reversed from those of conventional pairing, for
>2
, removing the peak in the
a+C conductivity
() and generating a peak in the
>2
acoustic attenuation as a function of temperature; (d) the Josephson current vanishes between an even and odd frequency superconductor, and vanishes to leading order in the tunneling rates
t
12
2
.
The authors wish to acknowledge the support of the National Science Foundation, grant No. DMR92-13295 (J.R.S.) and No. DMR 92-205027 (D.J.S.). They would like to thank Leo Lilly and William Putikka for helpful discussions.