dorsal/arxiv
View SchemaA recursion technique for deriving renormalized perturbation expansions for one-dimensional anharmonic oscillator
| Authors | I. V. Dobrovolska, R. S. Tutik |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0108142 |
| URL | https://arxiv.org/abs/quant-ph/0108142 |
| DOI | 10.1142/S0217751X0100372X |
| Journal | International Journal of Modern Physics A, Vol. 16, No. 14 (2001) 2493-2504 |
Abstract
A new recursion procedure for deriving renormalized perturbation expansions for the one-dimensional anharmonic oscillator is offered. Based upon the $\hbar$-expansions and suitable quantization conditions, the recursion formulae obtained have the same simple form both for ground and excited states and can be easily applied to any renormalization scheme. As an example, the renormalized expansions for the sextic anharmonic oscillator are considered.
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"abstract": "A new recursion procedure for deriving renormalized perturbation expansions\nfor the one-dimensional anharmonic oscillator is offered. Based upon the\n$\\hbar$-expansions and suitable quantization conditions, the recursion formulae\nobtained have the same simple form both for ground and excited states and can\nbe easily applied to any renormalization scheme. As an example, the\nrenormalized expansions for the sextic anharmonic oscillator are considered.",
"arxiv_id": "quant-ph/0108142",
"authors": [
"I. V. Dobrovolska",
"R. S. Tutik"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217751X0100372X",
"journal_ref": "International Journal of Modern Physics A, Vol. 16, No. 14 (2001)\n 2493-2504",
"title": "A recursion technique for deriving renormalized perturbation expansions for one-dimensional anharmonic oscillator",
"url": "https://arxiv.org/abs/quant-ph/0108142"
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