Abstract
The classical form factor is deduced from exact correspondence with a phase-space representation of the quantal form factor. Analytical expressions are provided for nl n8l8, nl n8, and n n8 transitions in hydrogenic systems and for n n8 in the one-dimensional harmonic oscillator. An efficient procedure for calculation of quantal form factors as analytical functions of momentum transfer, for arbitrary quantum numbers, is presented. The classical approach has the ability to explain quite succinctly interesting trends and various important aspects which remain hidden within the quantal treatment of form factors. The classicalquantal comparison ranges from being qualitatively good for nl n8l8 transitions to close agreement for nl n8 and n n8 transitions. Excellent agreement is obtained for the integrated form factor for all transitions. @S1050-2947~99!09107-6#
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