MULTIPOLE MATRIX ELEMENTS 〈nl|rβ|El'〉v FOR H-LIKE ATOMS AND THEIR APPLICATIONS (AS β = 1, n ≤ 4, Enl < 0 ≤ E ≤ 1)

DOI10.1142/S0217979208038132zbMath1152.81905OpenAlexW1832013119MaRDI QIDQ3532355

V. F. Tarasov

Publication date: 3 November 2008

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979208038132

zbMATH Keywords

multipole matrix elementshypergeometric functions of one and two variablesAppell's function \(F_2 (x,y)\)Heun-Schrödinger's radial function for \(H\)-like atomsthe average oscillator strengths and the line intensities for the discrete-continuous transitions of \(H\)-like atomsthe regular Coulomb wave functionsthe vicinity of the singular point (1, 1), multipole matrix elements

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Weak interaction in quantum theory (81V15)

Related Items (1)

NEW PROPERTIES OF THE P. E. APPELL HYPERGEOMETRIC SERIES F₂(α;β, β′;γ, γ′;x, y) TO THE VICINITY OF THE SINGULAR POINT (1, 1) AND NEAR THE BOUNDARY OF ITS DOMAIN OF CONVERGENCE D₂:|x|+|y|<1

Cites Work

• MULTIPOLE MATRIX ELEMENTS FOR DH-SYSTEMS AND THEIR ASYMPTOTICS
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