Use of self-friction polynomials in standard convention and auxiliary functions for construction of One-Range addition theorems for noninteger slater type orbitals



Document title: Use of self-friction polynomials in standard convention and auxiliary functions for construction of One-Range addition theorems for noninteger slater type orbitals
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000397544
ISSN: 0035-001X
Authors: 1
Institutions: 1Canakkale Onsekiz Mart University, Faculty of Arts and Sciences, Canakkale. Turquía
Year:
Season: Mar-Abr
Volumen: 62
Number: 2
Pages: 183-187
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract Using L(Pi*) -self-friction polynomials (L(Pi*)-SFPs), complete orthonormal sets of ψ(Pi*)-SF exponential type orbitals ψ(Pi*)-SFETOs) in standard convention and Qq-integer auxiliary functions (Qq-IAFs) introduced by the author, the combined one- and two-center one-range addition theorems for x-noninteger Slater type orbitals (x-NISTOs) are established, where Pi* = 2l + 2 — α* and α* is SF quantum number. As an application, the one-center atomic nuclear attraction integrals of x-NISTOs and V-noninteger Coulombic potential (V-NICPs) are calculated. The obtained formulas can be useful especially in the electronic structure calculations of atoms, molecules and solids
Disciplines: Física y astronomía
Keyword: Física atómica y molecular,
Teoremas de adición,
Convención estándar,
Orbitales exponenciales,
Número cuántico de fricción propia
Keyword: Physics and astronomy,
Atomic and molecular physics,
Addition theorems,
Standard convention,
Exponential type orbitals,
Self-friction quantum number
Full text: Texto completo (Ver PDF)