СТЕПЕННЫЕ РАЗЛОЖЕНИЯ ДЛЯ КВАДРАТИЧНО ИНТЕГРИРУЕМЫХ КУЛОНОВСКИХ СФЕРОИДАЛЬНЫХ ФУНКЦИЙ НА МНИМОЙ ОСИ

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СТЕПЕННЫЕ РАЗЛОЖЕНИЯ ДЛЯ КВАДРАТИЧНО ИНТЕГРИРУЕМЫХ КУЛОНОВСКИХ СФЕРОИДАЛЬНЫХ ФУНКЦИЙ НА МНИМОЙ ОСИ. / Пучков, А. М.; Керницкий, И. Б.

In: ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. СЕРИЯ 4: ФИЗИКА, ХИМИЯ, No. 1, 2008, p. 108-116.

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

BibTeX

@article{fc78a6d1c81544f3b1ce71cce2a463c8,

title = "СТЕПЕННЫЕ РАЗЛОЖЕНИЯ ДЛЯ КВАДРАТИЧНО ИНТЕГРИРУЕМЫХ КУЛОНОВСКИХ СФЕРОИДАЛЬНЫХ ФУНКЦИЙ НА МНИМОЙ ОСИ",

abstract = "The boundary-value problem for the spheroidal Coulomb equation for pure imaginary variable with homogeneous boundary conditions is considered. If the charge parameter is equal to zero the equation becomes spheroidal and then one can expand the eigenfunctions in power series. The series coefficients are bound by four member recurrence and Poincare-Perron - like relation. The series convergence is discussed. The elementary singular points case when the eigenfunction expansion in power series is possible is considered separately. The series coefficients are bound by three member recurrence relation. The numerically durable algorithm is based on these expansions by 1/N-method analogy.",

keywords = "кулоновские сфероидальные функции, квантовая задача двух кулоновских центров",

author = "Пучков, {А. М.} and Керницкий, {И. Б.}",

year = "2008",

language = "русский",

pages = "108--116",

journal = "ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ФИЗИКА И ХИМИЯ",

issn = "1024-8579",

publisher = "Издательство Санкт-Петербургского университета",

number = "1",

}

RIS

TY - JOUR

T1 - СТЕПЕННЫЕ РАЗЛОЖЕНИЯ ДЛЯ КВАДРАТИЧНО ИНТЕГРИРУЕМЫХ КУЛОНОВСКИХ СФЕРОИДАЛЬНЫХ ФУНКЦИЙ НА МНИМОЙ ОСИ

AU - Пучков, А. М.

AU - Керницкий, И. Б.

PY - 2008

Y1 - 2008

N2 - The boundary-value problem for the spheroidal Coulomb equation for pure imaginary variable with homogeneous boundary conditions is considered. If the charge parameter is equal to zero the equation becomes spheroidal and then one can expand the eigenfunctions in power series. The series coefficients are bound by four member recurrence and Poincare-Perron - like relation. The series convergence is discussed. The elementary singular points case when the eigenfunction expansion in power series is possible is considered separately. The series coefficients are bound by three member recurrence relation. The numerically durable algorithm is based on these expansions by 1/N-method analogy.

AB - The boundary-value problem for the spheroidal Coulomb equation for pure imaginary variable with homogeneous boundary conditions is considered. If the charge parameter is equal to zero the equation becomes spheroidal and then one can expand the eigenfunctions in power series. The series coefficients are bound by four member recurrence and Poincare-Perron - like relation. The series convergence is discussed. The elementary singular points case when the eigenfunction expansion in power series is possible is considered separately. The series coefficients are bound by three member recurrence relation. The numerically durable algorithm is based on these expansions by 1/N-method analogy.

KW - кулоновские сфероидальные функции

KW - квантовая задача двух кулоновских центров

M3 - статья

SP - 108

EP - 116

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ФИЗИКА И ХИМИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ФИЗИКА И ХИМИЯ

SN - 1024-8579

IS - 1

ER -

ID: 5123168