The Bound-State Solutions of the Klein-Gordon Equation with a Scalar-Vector Mixed Generalized Symmetric Woods-Saxon Potential Energy and the Role of the Differential Parameter
International Conference on Mathematics: An Istanbul Meeting for World Mathematicians, İstanbul, Turkey, 3 - 06 July 2018, pp.1, (Summary Text)
- Publication Type: Conference Paper / Summary Text
- City: İstanbul
- Country: Turkey
- Page Numbers: pp.1
- Akdeniz University Affiliated: Yes
Abstract
The bound state solutions of a Klein-Gordon particle in the presence of mixed scalar-vector generalized symmetric Woods-Saxon potential are examined analytically within the framework of spin and pseudo-spin symmetries limit. We prove that a bound state energy spectrum exists only in the spin symmetric limit. Furthermore, we discuss how the constraints prohibit the confinement of a Klein-Gordon particle in the pseudo-spin symmetric limit. The differentiation parameter is called as the difference of the magnitudes of vector and scalar potential energy. We finally investigate its role in the determination of the energy spectrum density.