  We extend effective field theory to the case of spontaneous symmetry breaking
in genuinely finite quantum systems such as small superfluid systems, molecules
or atomic nuclei, and focus on deformed nuclei. In finite superfluids, symmetry
arguments alone relate the spectra of systems with different particle numbers.
For systems with non-spherical intrinsic ground states such as atomic nuclei or
molecules, symmetry arguments alone yield the universal features of the
low-lying excitations as vibrations that are the heads of rotational bands. The
low-lying excitations in deformed nuclei differ from those in molecules because
of symmetry properties caused by pairing.
