MULTIPOLE MATRIX ELEMENTS FOR DH-SYSTEMS AND THEIR ASYMPTOTICS

DOI10.1142/S0217979295001002zbMath1264.81237OpenAlexW2147692740MaRDI QIDQ4925325

V. F. Tarasov

Publication date: 12 June 2013

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

Full work available at URL: https://doi.org/10.1142/s0217979295001002

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) General mathematical topics and methods in quantum theory (81Q99) Appell, Horn and Lauricella functions (33C65)

Related Items

THE THOMAS–FERMI–GOMBÁS ATOM MODELS IN WHICH THE ELECTRONS ARE GROUPED INTO n- AND nl-SHELLS AND A CALCULATION OF THE ATOMIC FORM FACTOR ⋮ Representation of the Coulomb matrix elements by means of Appell hypergeometric function \(F_2\) ⋮ W. Gordon’s integral (1929) and its representations by means of Appell’s functions F2, F1, and F3 ⋮ MULTIPOLE MATRIX ELEMENTS 〈nl|r^β|El'〉_v FOR H-LIKE ATOMS AND THEIR APPLICATIONS (AS β = 1, n ≤ 4, E_nl < 0 ≤ E ≤ 1) ⋮ W. GORDON'S INTEGRAL (1929) AND ITS REPRESENTATIONS BY MEANS OF APPELL'S FUNCTIONS F₂, F₁ AND F₃ ⋮ 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 ⋮ 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 <nl|r^β|n'l' >_ν FOR H-LIKE ATOMS, THEIR ASYMPTOTICS AND APPLICATIONS (AS β=1, n ≤ 4, n' ≤ 10)