On the Method of Correct Determination of Eigenvalues of a Truncated Hamiltonian Matrix on the Example of a Morse Oscillator; Russian Physics Journal; Vol. 63, iss. 9
| Parent link: | Russian Physics Journal Vol. 63, iss. 9.— 2021.— [P. 1639-1645] |
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| Corporate Authors: | , |
| Other Authors: | , , , |
| Summary: | Title screen A method of precise determination of the eigenvalues of energies of the molecular Hamiltonian based on high-order perturbation theory has been developed and implemented for a diatomic molecule. The proposed method makes it possible not only to obtain the energy values, but also to estimate the accuracy of their prediction and the applicability limits for the employed model. Numerical calculations have been performed for the extended Morse oscillator with corrections for the potential functions up to the sixth power of the Morse coordinate. The results obtained are compared with the results of calculation for the model of the truncated Hamiltonian matrix. The possibilities of application of the method are analyzed compared to other approaches to the determination of the potential functions for polyatomic molecules. Режим доступа: по договору с организацией-держателем ресурса |
| Language: | English |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://doi.org/10.1007/s11182-021-02216-6 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=663560 |
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| 200 | 1 | |a On the Method of Correct Determination of Eigenvalues of a Truncated Hamiltonian Matrix on the Example of a Morse Oscillator |f E. S. Bekhtereva, O. V. Gromova, P. A. Glushkov, A. S. Belova | |
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| 300 | |a Title screen | ||
| 320 | |a [References: 20 tit.] | ||
| 330 | |a A method of precise determination of the eigenvalues of energies of the molecular Hamiltonian based on high-order perturbation theory has been developed and implemented for a diatomic molecule. The proposed method makes it possible not only to obtain the energy values, but also to estimate the accuracy of their prediction and the applicability limits for the employed model. Numerical calculations have been performed for the extended Morse oscillator with corrections for the potential functions up to the sixth power of the Morse coordinate. The results obtained are compared with the results of calculation for the model of the truncated Hamiltonian matrix. The possibilities of application of the method are analyzed compared to other approaches to the determination of the potential functions for polyatomic molecules. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Russian Physics Journal | ||
| 463 | |t Vol. 63, iss. 9 |v [P. 1639-1645] |d 2021 | ||
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| 610 | 1 | |a intramolecular potential function | |
| 610 | 1 | |a Morse oscillator | |
| 610 | 1 | |a eigenvalues of the molecular Hamiltonian | |
| 701 | 1 | |a Bekhtereva |b E. S. |c physicist |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1974- |g Elena Sergeevna |3 (RuTPU)RU\TPU\pers\34450 |9 17851 | |
| 701 | 1 | |a Gromova |b O. V. |c physicist |c Professor of Tomsk Polytechnic University, Candidate of physical and mathematical sciences |f 1982- |g Olga Vasilievna |3 (RuTPU)RU\TPU\pers\34333 |9 17839 | |
| 701 | 1 | |a Glushkov |b P. A. |c physicist |c technician of Tomsk Polytechnic University |f 1998- |g Petr Alekseevich |3 (RuTPU)RU\TPU\pers\46750 |9 22386 | |
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