Standard

Multipole moments for Coulomb and oscillator wavefunctions and the Heun equation. / Slavyanov, Sergei Yu.

In: Journal of Physics A: Mathematical and General, Vol. 32, No. 9, 05.03.1999, p. 1773-1778.

Research output: Contribution to journal › Article › peer-review

Harvard

Slavyanov, SY 1999, 'Multipole moments for Coulomb and oscillator wavefunctions and the Heun equation', Journal of Physics A: Mathematical and General, vol. 32, no. 9, pp. 1773-1778. https://doi.org/10.1088/0305-4470/32/9/019

APA

Slavyanov, S. Y. (1999). Multipole moments for Coulomb and oscillator wavefunctions and the Heun equation. Journal of Physics A: Mathematical and General, 32(9), 1773-1778. https://doi.org/10.1088/0305-4470/32/9/019

Vancouver

Slavyanov SY. Multipole moments for Coulomb and oscillator wavefunctions and the Heun equation. Journal of Physics A: Mathematical and General. 1999 Mar 5;32(9):1773-1778. https://doi.org/10.1088/0305-4470/32/9/019

Author

Slavyanov, Sergei Yu. / Multipole moments for Coulomb and oscillator wavefunctions and the Heun equation. In: Journal of Physics A: Mathematical and General. 1999 ; Vol. 32, No. 9. pp. 1773-1778.

BibTeX

@article{4eb6111c6a8345b7916b629a911a6658,
title = "Multipole moments for Coulomb and oscillator wavefunctions and the Heun equation",
abstract = "A new method for calculating multipole moments with eigenfunctions related to Sturm-Liouville problems is proposed. The method is based on an auxiliary third-order equation and its Laplace transform. The multipole moments for Coulomb and oscillator problems in quantum mechanics are calculated as an application of this method. The relation between the multipole moments for these problems and equations of Heun type is observed.",
author = "Slavyanov, {Sergei Yu}",
year = "1999",
month = mar,
day = "5",
doi = "10.1088/0305-4470/32/9/019",
language = "English",
volume = "32",
pages = "1773--1778",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "9",

}

RIS

TY - JOUR

T1 - Multipole moments for Coulomb and oscillator wavefunctions and the Heun equation

AU - Slavyanov, Sergei Yu

PY - 1999/3/5

Y1 - 1999/3/5

N2 - A new method for calculating multipole moments with eigenfunctions related to Sturm-Liouville problems is proposed. The method is based on an auxiliary third-order equation and its Laplace transform. The multipole moments for Coulomb and oscillator problems in quantum mechanics are calculated as an application of this method. The relation between the multipole moments for these problems and equations of Heun type is observed.

AB - A new method for calculating multipole moments with eigenfunctions related to Sturm-Liouville problems is proposed. The method is based on an auxiliary third-order equation and its Laplace transform. The multipole moments for Coulomb and oscillator problems in quantum mechanics are calculated as an application of this method. The relation between the multipole moments for these problems and equations of Heun type is observed.

UR - http://www.scopus.com/inward/record.url?scp=0033525281&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/32/9/019

DO - 10.1088/0305-4470/32/9/019

M3 - Article

AN - SCOPUS:0033525281

VL - 32

SP - 1773

EP - 1778

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 9

ER -

ID: 36178509