dorsal/arxiv
View SchemaPerturbation method with triangular propagators and anharmonicities of intermediate strength
| Authors | Miloslav Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910114 |
| URL | https://arxiv.org/abs/quant-ph/9910114 |
| Journal | J. Math. Chem. 28 (2000) 139 - 167. |
Abstract
I propose a new version of the Rayleigh - Schr\"{o}dinger perturbation method. It admits a lower triangular matrix in place of the usual diagonal propagator. Illustrated on rational anharmonicities polynomial}(x)/polynomial}(x), treated as perturbations of (quasi-)exact anharmonic oscilators. In this sense the method works in an intermediate-coupling regime and bridges the gap between the weak- and strong-coupling expansions.
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"abstract": "I propose a new version of the Rayleigh - Schr\\\"{o}dinger perturbation\nmethod. It admits a lower triangular matrix in place of the usual diagonal\npropagator. Illustrated on rational anharmonicities\npolynomial}(x)/polynomial}(x), treated as perturbations of (quasi-)exact\nanharmonic oscilators. In this sense the method works in an\nintermediate-coupling regime and bridges the gap between the weak- and\nstrong-coupling expansions.",
"arxiv_id": "quant-ph/9910114",
"authors": [
"Miloslav Znojil"
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"journal_ref": "J. Math. Chem. 28 (2000) 139 - 167.",
"title": "Perturbation method with triangular propagators and anharmonicities of intermediate strength",
"url": "https://arxiv.org/abs/quant-ph/9910114"
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