Geodesic
Use of harmonic oscillator potential for the phase shift and resonance states parameters calculations
Čebyševskij sbornik, Tome 12 (2011) no. 3, pp. 106-112.

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The possibility of the modified harmonic oscillator potential using for stabilization calculations of phase shift and resonance states parameters is investigated. It is demonstrated for simple models that this method provides the estimation of phase shift and resonance parameters with the relative errors about 1%. 
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     title = {Use of harmonic oscillator potential for the phase shift and resonance states parameters calculations},
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A. A. Preobrazhenskaya; D. D. Kharlampidi; S. O. Adamson; A. I. Dementiev. Use of harmonic oscillator potential for the phase shift and resonance states parameters calculations. Čebyševskij sbornik, Tome 12 (2011) no. 3, pp. 106-112. http://geodesic.mathdoc.fr/item/CHEB_2011_12_3_a10/

[1] Illenberger E., Smirnov B. M., “Prilipanie elektrona k svobodnym i svyazannym molekulam”, Uspekhi fizicheskikh nauk, 168:7 (1998), 731–766 | DOI

[2] Kharlampidi D. D., Dementev A. I., Adamson S. O., “Stabilizatsiya rezonansnykh sostoyanii odnorodno zaryazhennoi sferoi s peremennym zaryadom”, ZhFKh, 84:4 (2010), 695–700

[3] Kharlampidi D. D., Primenenie metoda stabilizatsii k issledovaniyu metastabilnykh molekulyarnykh soedinenii, Diss. na soiskanie uch. st. k. kh. n., MPGU, M., 2010

[4] Abramovits M., Stigun I., Spravochnik po spetsialnym funktsiyam, Nauka, M., 1979

[5] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, v. 1,2, Nauka, M., 1973; Bateman H., Erdelyi A., Higher transcendental functions, v. 1,2, McGraw-Hill Book Co, New York, 1953 | MR

[6] Hazi A. U., Taylor H. S., “Stabilization method of calculating resonance energies: model problem”, Phys. Rev. A, 1:4 (1970), 1109–1120 | DOI

[7] Maier C. H., Cederbaum L. S., Domcke W., “A spherical-box approach to resonances”, J. Phys. B: Atom. Molec. Phys., 13 (1980), L119–L124 | DOI