Calculation of the energy levels of excited vibrational states of the HD16O molecule by summing divergent series of the Rayleigh-Schrodinger perturbation theory. The shift of zero-order levels; Optics and Spectroscopy; Vol. 116, iss. 4
| Parent link: | Optics and Spectroscopy Vol. 116, iss. 4.— 2014.— [P. 557-563] |
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| Diğer Yazarlar: | , |
| Özet: | Title screen The Rayleigh-Schrodinger perturbation theory is applied to calculation of the energy levels of excited vibrational states of the HD16O molecule. The model of coupled anharmonic oscillators is considered, with the anharmonic part of potential energy being taken into account as the perturbation. The calculations are carried out for the vibrational states that correspond to three-to seven-fold vibrational excitations. Since the perturbation series diverge in the case of strong resonance interactions and their approximations by the Pade and Pade-Hermite methods do not yield sufficiently correct results, a calculation technique is applied that allows the zero-order approximation to be modified. The zero-order Hamiltonian is modified by shifting the vibrational frequencies, which decreases the mixing of states. The new Rayleigh-Schrodinger series can be summed using the quadratic Pade-Hermite approximation method. Режим доступа: по договору с организацией-держателем ресурса |
| Dil: | İngilizce |
| Baskı/Yayın Bilgisi: |
2014
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| Seri Bilgileri: | Spectroscopy Of Atoms And Molecules |
| Konular: | |
| Online Erişim: | http://dx.doi.org/10.1134/S0030400X14030047 |
| Materyal Türü: | Elektronik Kitap Bölümü |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=648027 |
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| 200 | 1 | |a Calculation of the energy levels of excited vibrational states of the HD16O molecule by summing divergent series of the Rayleigh-Schrodinger perturbation theory. The shift of zero-order levels |d Вычисление уровней энергии возбужденных колебательных состояний молекулы HD16O суммированием расходящихся рядов теории возмущений Релея-Шредингера. Сдвиг уровней нулевого приближения |f A. D. Bykov, K. V. Kalinin, A. N. Duchko | |
| 203 | |a Text |c electronic | ||
| 225 | 1 | |a Spectroscopy Of Atoms And Molecules | |
| 300 | |a Title screen | ||
| 320 | |a [References: p. 563 (18 tit.)] | ||
| 330 | |a The Rayleigh-Schrodinger perturbation theory is applied to calculation of the energy levels of excited vibrational states of the HD16O molecule. The model of coupled anharmonic oscillators is considered, with the anharmonic part of potential energy being taken into account as the perturbation. The calculations are carried out for the vibrational states that correspond to three-to seven-fold vibrational excitations. Since the perturbation series diverge in the case of strong resonance interactions and their approximations by the Pade and Pade-Hermite methods do not yield sufficiently correct results, a calculation technique is applied that allows the zero-order approximation to be modified. The zero-order Hamiltonian is modified by shifting the vibrational frequencies, which decreases the mixing of states. The new Rayleigh-Schrodinger series can be summed using the quadratic Pade-Hermite approximation method. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Optics and Spectroscopy | ||
| 463 | |t Vol. 116, iss. 4 |v [P. 557-563] |d 2014 | ||
| 510 | 1 | |a Вычисление уровней энергии возбужденных колебательных состояний молекулы HD16O суммированием расходящихся рядов теории возмущений Релея-Шредингера. Сдвиг уровней нулевого приближения |z rus | |
| 610 | 1 | |a электронный ресурс | |
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| 700 | 1 | |a Bykov |b A. D. |g Aleksandr Dmitrievich | |
| 701 | 1 | |a Kalinin |b K. V. |g Konstantin Vladimirovich | |
| 701 | 1 | |a Duchko |b A. N. |c mathematician |c Assistant of Tomsk Polytechnic University |f 1990- |g Andrey Nikolaevich |3 (RuTPU)RU\TPU\pers\32998 |9 16843 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |b Институт международного образования и языковой коммуникации |b Кафедра междисциплинарная |3 (RuTPU)RU\TPU\col\19012 |9 27304 |
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