Inter-dimensional Degeneracies in van der Waals Clusters and Quantum Monte Carlo Computation of Rovibrational States

Abstract

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 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.

References in corpus (2)

• Optimization of ground and excited state wavefunctions and van der Waals clusters
• Interdimensional degeneracies for a quantum $N$-body system in $D$ dimensions

Cited by in corpus (2)

• Nodal surfaces and interdimensional degeneracies
• Discrete spectra for confined and unconfined -a/r + b r^2 potentials in d dimensions