Year: 1987
Type: article
Abstract: The continuum-continuum transition matrix elements of the scalar and vector potentials of a pure Coulomb field with exact Dirac wavefunctions can be expressed in terms of generalised hypergeometric functions of two variables denoted as Appell functions. The domain of physical interest for the variables exceeds the convergence region of the original double sum. A method for analytical continuation of the Appell functions is given together with a recipe for their fast calculation.
Institution: Stanford University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2004431109