One-range addition theorems for generalized integer and noninteger mu Coulomb, and exponential type correlated interaction potentials with hyperbolic cosine in position, momentum, and four-dimensional spaces

Guseinov I. I.

CHINESE PHYSICS B, vol.21, no.6, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 6
  • Publication Date: 2012
  • Doi Number: 10.1088/1674-1056/21/6/063101
  • Journal Name: CHINESE PHYSICS B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Çanakkale Onsekiz Mart University Affiliated: No

Abstract

The formulae are established in position,momentum, and four-dimensional spaces for the one-range addition theorems of generalized integer and noninteger mu Coulomb, and exponential type correlated interaction potentials with hyperbolic cosine(GCTCP and GETCP HC). These formulae are expressed in terms of one-range addition theorems of complete orthonormal sets of Psi(alpha)-exponential type orbitals (Psi(alpha)-ETO),phi(alpha)-momentum space orbitals(phi(alpha)-MSO), and z(alpha)-hyperspherical harmonics(z(alpha)-HSH) introduced. The one-range addition theorems obtained can be useful in the electronic structure calculations of atoms and molecules when the GCTCP and GETCP HC in position, momentum, and four-dimensional spaces are employed.