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Operator Racah algebra and Laplace-type expansions of irreducible spherical tensors (1985)

Niukkanen, A. W.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 26 (1985), S. 1540-1546

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: Differential formulas for coefficients in the Laplace-type series of an arbitrary spherical tensor fLM (r+R) are given in terms of an operator N applied to the radial part cursive-phi(r) of fLM(r). Very compact and convenient expressions for N in terms of operator Pochhammer symbols are established. A special representation of the coefficients of the Laplace-type series, in terms of the operator Gauss function 2F1, is given, which, in turn, provides a remarkably short proof of two earlier Sack expansions. More general gradient formulas are introduced and numerous particular cases of the Laplace-type expansions are considered in detail.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.526914

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