dorsal/arxiv
View SchemaA new perturbation technique for eigenenergies of the screened coulomb potential
| Authors | I. V. Dobrovolska, R. S. Tutik |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609148 |
| URL | https://arxiv.org/abs/quant-ph/0609148 |
| Journal | Proc. 10th Int. Conf. on Mathematical Methods in Electromagnetic Theory, Dniepropetrovsk, Ukraine, Sept. 14-17, 2004, pp. 341-343 |
Abstract
The explicit semiclassical treatment of the logarithmic perturbation theory for the bound-state problem of the radial Shrodinger equation with the screened Coulomb potential is developed. Based upon h-expansions and new quantization conditions a novel procedure for deriving perturbation expansions is offered. Avoiding disadvantages of the standard approach, new handy recursion formulae with the same simple form both for ground and excited states have been obtained.
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"abstract": "The explicit semiclassical treatment of the logarithmic perturbation theory\nfor the bound-state problem of the radial Shrodinger equation with the screened\nCoulomb potential is developed. Based upon h-expansions and new quantization\nconditions a novel procedure for deriving perturbation expansions is offered.\nAvoiding disadvantages of the standard approach, new handy recursion formulae\nwith the same simple form both for ground and excited states have been\nobtained.",
"arxiv_id": "quant-ph/0609148",
"authors": [
"I. V. Dobrovolska",
"R. S. Tutik"
],
"categories": [
"quant-ph"
],
"journal_ref": "Proc. 10th Int. Conf. on Mathematical Methods in Electromagnetic\n Theory, Dniepropetrovsk, Ukraine, Sept. 14-17, 2004, pp. 341-343",
"title": "A new perturbation technique for eigenenergies of the screened coulomb potential",
"url": "https://arxiv.org/abs/quant-ph/0609148"
},
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