dorsal/arxiv
View SchemaNew perturbation method with the matching of wave functions
| Authors | Miloslav Znojil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9812027 |
| URL | https://arxiv.org/abs/quant-ph/9812027 |
| Journal | Int.J.Quant.Chem.79:235-242,2000 |
Abstract
We propose a new approach to the Rayleigh-Schr\"{o}dinger perturbation expansions of bound states in quantum mechanics. We are inspired by the enormous flexibility of solvable interactions with several (N) discontinuities. Their standard matching solution is modified and transferred in perturbation regime. We employ the global renormalization freedom of the local wave functions and derive a compact N-dimensional matrix formula for corrections. In applications, our recipe is shown non-numerical for all polynomial perturbations of any piece-wise constant zero order potential.
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"abstract": "We propose a new approach to the Rayleigh-Schr\\\"{o}dinger perturbation\nexpansions of bound states in quantum mechanics. We are inspired by the\nenormous flexibility of solvable interactions with several (N) discontinuities.\nTheir standard matching solution is modified and transferred in perturbation\nregime. We employ the global renormalization freedom of the local wave\nfunctions and derive a compact N-dimensional matrix formula for corrections. In\napplications, our recipe is shown non-numerical for all polynomial\nperturbations of any piece-wise constant zero order potential.",
"arxiv_id": "quant-ph/9812027",
"authors": [
"Miloslav Znojil"
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"journal_ref": "Int.J.Quant.Chem.79:235-242,2000",
"title": "New perturbation method with the matching of wave functions",
"url": "https://arxiv.org/abs/quant-ph/9812027"
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