Accession Number:

AD0631292

Title:

BIPOLAR EXPANSION OF SCREENED COULOMB POTENTIALS, HELMHOLTZ' SOLID HARMONICS, AND THEIR ADDITION THEOREMS.

Descriptive Note:

Scientific rept.,

Corporate Author:

UPPSALA UNIV (SWEDEN) QUANTUM CHEMISTRY GROUP

Personal Author(s):

Report Date:

1965-11-01

Pagination or Media Count:

58.0

Abstract:

Helmholtz solid harmonics spherical Bessel functions X spherical surface harmonics are generated from fundamental spherical waves through a ladder procedure using raising and lowering operators. The addition theorem for them and the bipolar expansion formula of a screened Coulomb potential are derived. A method for evaluating two-center integrals with a general potential is given which is new and useful in practical calculations. Lastly, a key function, which appears in all the essential results, is studied in detail. Author

Subject Categories:

  • Theoretical Mathematics
  • Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE