title: Addition and expansion theorems for complete orthonormal sets of exponential-type orbitals in coordinate and momentum representations.
abstract: Analytical properties of new complete orthonormal sets of Psi(alpha) exponential-type orbitals (Psi(alpha)-ETOs where alpha=1, 0, -1, -2, em leader ), introduced by the author as finite linear combinations of Slater-type orbitals (STOs), are studied. Addition and expansion theorems for Psi(alpha)-ETOs are obtained in both coordinate and momentum representations. Using expressions of Psi(alpha)-ETOs in terms of STOs, the new methods are suggested to calculate multicenter multielectron integrals over STOs.
authors.affiliation: Department of Physics, Faculty of Arts and Sciences, Onsekiz Mart University, Canakkale, Turkey. iguseinov@cheerful.com
authors.forename: Israfil
authors.initials: I
authors.lastname: Guseinov
mesh_terms: D000465:Algorithms; D002627:Chemistry, Physical / Q000379:methods; D004583:Electrons; D008962:Models, Theoretical; D011789:Quantum Theory