dorsal/arxiv
View SchemaInter-dimensional Degeneracies in van der Waals Clusters and Quantum Monte Carlo Computation of Rovibrational States
| Authors | M. P. Nightingale, Mervlyn Moodley |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505021 |
| URL | https://arxiv.org/abs/quant-ph/0505021 |
| DOI | 10.1063/1.1941107 |
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 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.
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"abstract": "Quantum Monte Carlo estimates of the spectrum of rotationally invariant\nstates of noble gas clusters suggest inter-dimensional degeneracy in $N-1$ and\n$N+1$ spacial dimensions. We derive this property by mapping the Schr\\\"odinger\neigenvalue problem onto an eigenvalue equation in which $D$ appears as a\ncontinuous variable. We discuss implications for quantum Monte Carlo and\ndimensional scaling methods.",
"arxiv_id": "quant-ph/0505021",
"authors": [
"M. P. Nightingale",
"Mervlyn Moodley"
],
"categories": [
"quant-ph",
"physics.atm-clus"
],
"doi": "10.1063/1.1941107",
"title": "Inter-dimensional Degeneracies in van der Waals Clusters and Quantum Monte Carlo Computation of Rovibrational States",
"url": "https://arxiv.org/abs/quant-ph/0505021"
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