Browsing by Author "Yalçin, Z"

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Bound State Calculations for Some Three-Body Electronic and Muonic Atomic Systems With Fues-Kratzer Potential
(John Wiley & Sons inc, 2004) Yalçin, Z
The coupled Schrodinger equation for three-body atomic systems such as Ps(-)(e(+)e(-)e(-)), Mu(mu(+)e(-)e(-)), p(+)mu(-)mu(-), d(+)mu(+)mu(-), and t(+)mu(-)mu(-) is solved by using the hyperspherical harmonic-generalized Laguerre polynomial expansion method (HHGLP). Ground-state eigenenergies are calculated for the certain number of basis functions. The eigenenergies of the first excited states are obtained for both pure Coulomb, V(r, Omega) = (Z) over cap(Omega)/r, and Fues-Kratzer-type (FK-type) potential, V(r, Omega) = (Z) over cap(Omega)/r + (A) over cap(Omega)/r(2). As an example, to illustrate the effect of FK-type interaction on the lowest excited states, the eigenenergies of the Mu(-) ion are given together as a function of the certain number of basis functions for both potentials. Our results were compared with the other theoretical calculations. Ground-state eigenenergies of atoms such as X+Y-Y- as a function of the reduced mass were investigated. The potential curves of the ground and first excited states of Ps(-)(e(+)e(-)e(-)), Mu(-)(mu(+)e(-)e(-)), p(+)mu(-)mu(-) systems were obtained by a diagonalization process. It is pointed out that the FK-type potential makes the HH method more useful and more extended for atomic calculations. (C) 2004 Wiley Periodicals, Inc.
Potential Harmonic Approximation in Atomic Three-Body Systems With Fues-Kratzer Potential
(Wiley-blackwell, 2002) Yalçin, Z; Simsek, M
By using the matrix form of the Fues-Kratzer-type (FK) potential, V(r) = Z(Ohm)/r + A/r(2), three-body problems of two-electron atomic systems are solved with the PHGLP expansion method. The atomic wave functions psi(Ohm) are constructed in terms of generalized Laguarre polynomials (GLP) and potential harmonics (PH). The calculations of the ground-state energies of atoms from He to Si12+ are tabulated using Deng et al.'s procedure and also the effect of the new potential onto excited states of S-1 Li+ are illustrated. Then, we calculated excited state energies (n(1)S, n = 1-3) of the atoms from He to Si12+ with the FK potential. The present results are compared with other theoretical calculations. It is pointed out that convergences of our results are more rapid than the results of the pure Coulombic interaction, and, so, this article increases the efficiency of the calculation for atomic three-body systems. (C) 2002 Wiley Periodicals, Inc.