dorsal/arxiv
View SchemaVariational Resummation of Divergent Series with known Large-Order Behavior
| Authors | H. Kleinert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9507009 |
| URL | https://arxiv.org/abs/quant-ph/9507009 |
| DOI | 10.1016/0370-2693(95)01117-9 |
| Journal | Phys.Lett. B360 (1995) 65-70 |
Abstract
Recently-developed variational perturbation expansions converge exponentially fast for positive coupling constants. They do not, however, possess the correct left-hand cut in the complex coupling constant plane, implying a wrong large-order behavior of their Taylor expansion coefficients. We correct this deficiency and present a method of resumming divergent series with their proper large-order behavior. For a given set of expansion coefficients, knowledge of the large-order behavior considerably improves the quality of the approximation.
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"abstract": "Recently-developed variational perturbation expansions converge exponentially\nfast for positive coupling constants. They do not, however, possess the correct\nleft-hand cut in the complex coupling constant plane, implying a wrong\nlarge-order behavior of their Taylor expansion coefficients. We correct this\ndeficiency and present a method of resumming divergent series with their proper\nlarge-order behavior. For a given set of expansion coefficients, knowledge of\nthe large-order behavior considerably improves the quality of the\napproximation.",
"arxiv_id": "quant-ph/9507009",
"authors": [
"H. Kleinert"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/0370-2693(95)01117-9",
"journal_ref": "Phys.Lett. B360 (1995) 65-70",
"title": "Variational Resummation of Divergent Series with known Large-Order Behavior",
"url": "https://arxiv.org/abs/quant-ph/9507009"
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