BIPOLAR EXPANSION OF SCREENED COULOMB POTENTIALS, HELMHOLTZ' SOLID HARMONICS, AND THEIR ADDITION THEOREMS.
UPPSALA UNIV (SWEDEN) QUANTUM CHEMISTRY GROUP
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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
- Theoretical Mathematics
- Quantum Theory and Relativity