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, cilt.21, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

Özet

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.