Date of Original Version
Quantum Monte Carlo estimates of the spectrum of rotationally invariant states of noble gas clusters suggest interdimensional degeneracy in N – 1 and N + 1 spatial dimensions. We derive this property by mapping the Schrödinger 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.
Nightingale, M. P., & Moodley, M. (2005). Interdimensional degeneracies in van der Waals clusters and quantum Monte Carlo computation of rovibrational states. The Journal of Chemical Physics, 123, 04304. doi: 10.1063/1.1941107
Available at: https://doi.org/10.1063/1.1941107