dorsal/arxiv
View SchemaLarge-D Expansion from Variational Perturbation Theory
| Authors | Sebastian F. Brandt, Axel Pelster |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504146 |
| URL | https://arxiv.org/abs/quant-ph/0504146 |
| DOI | 10.1063/1.2116247 |
| Journal | Journal of Mathematical Physics 46, 112105 (2005) |
Abstract
We derive recursively the perturbation series for the ground-state energy of the D-dimensional anharmonic oscillator and resum it using variational perturbation theory (VPT). From the exponentially fast converging approximants, we extract the coefficients of the large-D expansion to higher orders. The calculation effort is much smaller than in the standard field-theoretic approach based on the Hubbard-Stratonovich transformation.
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"abstract": "We derive recursively the perturbation series for the ground-state energy of\nthe D-dimensional anharmonic oscillator and resum it using variational\nperturbation theory (VPT). From the exponentially fast converging approximants,\nwe extract the coefficients of the large-D expansion to higher orders. The\ncalculation effort is much smaller than in the standard field-theoretic\napproach based on the Hubbard-Stratonovich transformation.",
"arxiv_id": "quant-ph/0504146",
"authors": [
"Sebastian F. Brandt",
"Axel Pelster"
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"doi": "10.1063/1.2116247",
"journal_ref": "Journal of Mathematical Physics 46, 112105 (2005)",
"title": "Large-D Expansion from Variational Perturbation Theory",
"url": "https://arxiv.org/abs/quant-ph/0504146"
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