Document Type

Article

Date of Original Version

2005

Abstract

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.

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