Inter-dimensional Degeneracies in van der Waals Clusters and Quantum   Monte Carlo Computation of Rovibrational States
  Quantum Monte Carlo estimates of the spectrum of rotationally invariant states of noble gas clusters suggest inter-dimensional degeneracy in $N-1$ and $N+1$ spacial dimensions. We derive this property by mapping the Schr\"odinger eigenvalue problem onto an eigenvalue equation in which $D$ appears as a continuous variable. We discuss implications for quantum Monte Carlo and dimensional scaling methods. 
M. P. Nightingale and Mervlyn Moodley