MULTIPOLE MATRIX ELEMENTS <nl|rβ|n'l' >ν FOR H-LIKE ATOMS, THEIR ASYMPTOTICS AND APPLICATIONS (AS β=1, n ≤ 4, n' ≤ 10)

DOI10.1142/S0217979209048602zbMath1170.81507MaRDI QIDQ3398026

V. F. Tarasov

Publication date: 25 September 2009

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

zbMATH Keywords

hypergeometric functions of one and two variablesHeun--Schrödinger's radial function for H-like atomsthe mean oscillator strengthsthe transition probabilities and the line intensities of H-like atoms

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45)

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

• CODATA recommended values of the fundamental physical constants: 1998
• EXACT NUMERICAL VALUES OF DIAGONAL MATRIX ELEMENTS <r^k>_nl, AS n≤8and-7≤k≤4, AND THE SYMMETRY OF APPELL'S FUNCTION F₂(1, 1)
• MULTIPOLE MATRIX ELEMENTS FOR DH-SYSTEMS AND THEIR ASYMPTOTICS
• THE HEUN–SCHRÖDINGER RADIAL EQUATION WITH TWO AUXILIARY PARAMETERS FOR H-LIKE ATOMS
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