  The density of states and other thermodynamic functions of helium
nanodroplets are calculated for a microcanonical ensemble with both energy and
total angular momentum treated as conserved quantum numbers. These functions
allow angular momentum conserving evaporative cooling simulations.
  As part of this project, a recursion relationship is derived for the
reduction to irreducible representations of the n'th symmetric power of the
irreducible representations of the rotation group. These give the distribution
of total angular momentum states generated by putting multiple quanta into a
ripplon or phonon mode of the droplet, each of which is characterized by a
angular momentum quantum number.
