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Algebraic solution of the problem of two Coulomb centres - The continuous spectrum. / Kereselidze, Tamaz; Noselidze, Irakli; Devdariani, Alexander.

в: Journal of Physics B: Atomic, Molecular and Optical Physics, Том 52, № 10, 105003, 28.05.2019, стр. 105003.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Kereselidze, T, Noselidze, I & Devdariani, A 2019, 'Algebraic solution of the problem of two Coulomb centres - The continuous spectrum', Journal of Physics B: Atomic, Molecular and Optical Physics, Том. 52, № 10, 105003, стр. 105003. https://doi.org/10.1088/1361-6455/ab181e

APA

Kereselidze, T., Noselidze, I., & Devdariani, A. (2019). Algebraic solution of the problem of two Coulomb centres - The continuous spectrum. Journal of Physics B: Atomic, Molecular and Optical Physics, 52(10), 105003. [105003]. https://doi.org/10.1088/1361-6455/ab181e

Vancouver

Kereselidze T, Noselidze I, Devdariani A. Algebraic solution of the problem of two Coulomb centres - The continuous spectrum. Journal of Physics B: Atomic, Molecular and Optical Physics. 2019 Май 28;52(10):105003. 105003. https://doi.org/10.1088/1361-6455/ab181e

Author

Kereselidze, Tamaz ; Noselidze, Irakli ; Devdariani, Alexander. / Algebraic solution of the problem of two Coulomb centres - The continuous spectrum. в: Journal of Physics B: Atomic, Molecular and Optical Physics. 2019 ; Том 52, № 10. стр. 105003.

BibTeX

@article{c984f86bc17848c99c2e175e9c3a962d,
title = "Algebraic solution of the problem of two Coulomb centres - The continuous spectrum",
abstract = "The two-Coulomb-centre problem for the continuous spectrum is treated in prolate spheroidal coordinates. Solutions of the one-dimensional equations that are obtained after separation of spatial variables in the Schrodinger equation are found for large distances R between the Coulomb centres. The solutions are obtained in a closed algebraic form convenient for their further application. The obtained solutions present the expansions of the exact eigenvalues and eigenfunctions of the quasiradial and quasiangular equations in inverse powers of R. The derived wavefunctions allow us to investigate completely the cosmological recombination problem, namely, to include in the calculation a quasimolecular mechanism of formation of atomic hydrogen in the early universe.",
keywords = "continuous spectrum, quasimolecule, spheroidal coordinates, wavefunction, WAVE-FUNCTIONS, IONIZATION",
author = "Tamaz Kereselidze and Irakli Noselidze and Alexander Devdariani",
year = "2019",
month = may,
day = "28",
doi = "10.1088/1361-6455/ab181e",
language = "English",
volume = "52",
pages = "105003",
journal = "Journal of the European Optical Society Part B: Quantum Optics",
issn = "0953-4075",
publisher = "IOP Publishing Ltd.",
number = "10",

}

RIS

TY - JOUR

T1 - Algebraic solution of the problem of two Coulomb centres - The continuous spectrum

AU - Kereselidze, Tamaz

AU - Noselidze, Irakli

AU - Devdariani, Alexander

PY - 2019/5/28

Y1 - 2019/5/28

N2 - The two-Coulomb-centre problem for the continuous spectrum is treated in prolate spheroidal coordinates. Solutions of the one-dimensional equations that are obtained after separation of spatial variables in the Schrodinger equation are found for large distances R between the Coulomb centres. The solutions are obtained in a closed algebraic form convenient for their further application. The obtained solutions present the expansions of the exact eigenvalues and eigenfunctions of the quasiradial and quasiangular equations in inverse powers of R. The derived wavefunctions allow us to investigate completely the cosmological recombination problem, namely, to include in the calculation a quasimolecular mechanism of formation of atomic hydrogen in the early universe.

AB - The two-Coulomb-centre problem for the continuous spectrum is treated in prolate spheroidal coordinates. Solutions of the one-dimensional equations that are obtained after separation of spatial variables in the Schrodinger equation are found for large distances R between the Coulomb centres. The solutions are obtained in a closed algebraic form convenient for their further application. The obtained solutions present the expansions of the exact eigenvalues and eigenfunctions of the quasiradial and quasiangular equations in inverse powers of R. The derived wavefunctions allow us to investigate completely the cosmological recombination problem, namely, to include in the calculation a quasimolecular mechanism of formation of atomic hydrogen in the early universe.

KW - continuous spectrum

KW - quasimolecule

KW - spheroidal coordinates

KW - wavefunction

KW - WAVE-FUNCTIONS

KW - IONIZATION

UR - http://www.scopus.com/inward/record.url?scp=85067306927&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/algebraic-solution-problem-two-coulomb-centresthe-continuous-spectrum

U2 - 10.1088/1361-6455/ab181e

DO - 10.1088/1361-6455/ab181e

M3 - Article

AN - SCOPUS:85067306927

VL - 52

SP - 105003

JO - Journal of the European Optical Society Part B: Quantum Optics

JF - Journal of the European Optical Society Part B: Quantum Optics

SN - 0953-4075

IS - 10

M1 - 105003

ER -

ID: 43199471