AN EMPIRICAL MANY-BODY POTENTIAL-ENERGY FUNCTION CONSTRUCTED FROM PAIR-INTERACTIONS

Date

1994-12-01

Author

Erkoç, Şakir

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

178
views

0
downloads

A new empirical potential energy function (PEF) is proposed, which is formed from pair-interactions only, and contains the many-body contributions; The PEF satisfies bulk cohesive energy and bulk stability condition. The PEF is parameterized for copper, silver, and gold elements in fee crystal structure. The elastic constants C-11 and C-12 and the bulk modulus of the elements are calculated, and the structural stability and energetics of microclusters containing 3 to 7 atoms of the same elements are investigated.

Subject Keywords

Atomic and Molecular Physics, and Optics

URI

https://hdl.handle.net/11511/52330

Journal

ZEITSCHRIFT FUR PHYSIK D-ATOMS MOLECULES AND CLUSTERS

DOI

https://doi.org/10.1007/bf01437156

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

BOUND-STATE ENERGIES FOR THE EXPONENTIAL COSINE SCREENED COULOMB POTENTIAL IKHDAIR, SM; Sever, Ramazan (Springer Science and Business Media LLC, 1993-09-01) The energy eigenvalues of bound states of an electron in the general exponential cosine screened Coulomb potential are obtained using the shifted 1/N expansion method. The energies for the states from 1s to 8k are calculated from six to eight significant figures. The energy eigenvalues for the 1s, 2s - 2p, 3s - 3d, and 4s - 4f states are also presented as a function of the screening parameter lambda. Results are compared with the ones obtained by other workers. The agreement reduces roughly for large lambda...
The Dirac-Yukawa problem in view of pseudospin symmetry AYDOĞDU, OKTAY; Sever, Ramazan (IOP Publishing, 2011-08-01) An approximate analytical solution of the Dirac equation for the Yukawa potential under the pseudospin symmetry condition is obtained using the asymptotic iteration method. We discover the energy eigenvalue equation and some of the numerical results are listed. Wave functions are obtained in terms of hypergeometric functions. Extra degeneracies are removed by adding a new term, A/r(2), to the Yukawa potential. The effects of tensor interaction on the two states in the pseudospin doublet are also investigated.
Approximate analytical solutions of the Klein-Gordon equation for the Hulthen potential with the position-dependent mass Arda, Altug; Sever, Ramazan; TEZCAN, CEVDET (IOP Publishing, 2009-01-01) The Klein-Gordon equation is solved approximately for the Hulthen potential for any angular momentum quantum number l with the position-dependent mass. Solutions are obtained by reducing the Klein-Gordon equation into a Schrodinger-like differential equation using an appropriate coordinate transformation. The Nikiforov-Uvarov method is used in the calculations to get energy eigenvalues and the wavefunctions. It is found that the results in the case of constant mass are in good agreement with the ones obtain...
An algebraic method for the analytical solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials Akçay, Hüseyin; Sever, Ramazan (IOP Publishing, 2014-01-01) Analytical solutions of the Klein-Gordon equation are obtained by reducing the radial part of the wave equation to a standard form of a second-order differential equation. Differential equations of this standard form are solvable in terms of hypergeometric functions and we give an algebraic formulation for the bound state wave functions and for the energy eigenvalues. This formulation is applied for the solutions of the Klein-Gordon equation with some diatomic potentials.
Step-up and Step-down Operators of a Two-Term Molecular Potential Via Nikiforov-Uvarov Method Arda, Altug; Sever, Ramazan (Springer Science and Business Media LLC, 2014-04-01) The creation and annihilation operators of a two-term diatomic molecular potential are studied and it is observed that they satisfy the commutation relations of a SU(1,1) algebra. To study the Lie algebraic realization of the present potential, the normalized eigenfunctions and eigenvalues are computed by using the Nikiforov-Uvarov method.

Citation Formats

Ş. Erkoç, “AN EMPIRICAL MANY-BODY POTENTIAL-ENERGY FUNCTION CONSTRUCTED FROM PAIR-INTERACTIONS,” ZEITSCHRIFT FUR PHYSIK D-ATOMS MOLECULES AND CLUSTERS, pp. 257–260, 1994, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52330.