On the unified treatment of complete orthonormal sets of functions in coordinate, momentum, and four dimensional spaces and their expansion and one-range addition theorems

Guseinov I. I.

JOURNAL OF MATHEMATICAL CHEMISTRY, cilt.43, sa.3, ss.1024-1031, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 3
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s10910-007-9239-5
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1024-1031
  • Çanakkale Onsekiz Mart Üniversitesi Adresli: Hayır

Özet

The new formulas have been established for the expansion and one-range addition theorems for the complete orthonormal sets of functions in coordinate, momentum, and four-dimensional spaces. These theorems enable us to derive the formulas for the overlap integrals over STOS, Psi(alpha)-ETOs, Phi(alpha)-MSOs, and Z(alpha)-HSHs which can be useful in the study of different quantum mechanical problems in both the theory and practice of calculations dealing with atoms, molecules, and solids when the coordinate, momentum or four-dimensional spaces employed. This work presents the development of our previous paper (I.I. Guseinov, J. Math. Chem., (2007) DOI: 10.1007/s10910-006-9154-1).