Abstract
The phonon spectral function of an acoustic phonon in a BCS superconductor is calculated at zero temperature and compared to the result for the normal metal. Shifts are found in the frequency and linewidth of the phonon depending on its wavevector. In addition to the phonon, the spectral function shows a structure around the gap energy of the superconductor, reflecting the increased polarizability of the superconducting electrons at this energy.
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