Stieltjes imaging of electron impact-excitation profiles

✍ Scribed by P.W. Langhoff; S.L. Seidman

• Book ID: 103011563
• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 347 KB
• Volume: 27
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(74)90202-4

✦ Synopsis

A theoretical technique employing variational calculations in Hilbert space and theorems from the theory ot moments is described for the ab initio construction of both discrete and continuum portions of the Bethe surfaces of atoms and molecules. Accurate approximations to the appropriate complete sets of atomic and molecular eigenfunctions are not required. An illustrative application in the case of atomic hydrogen, for which the correct Bethe surface is available, indicates that the method is rapidly convergent.