On the non relativistic modelling of the generalized symmetric Woods-Saxon potential energy with Snyder-de Sitter algebra

Year 2020, Volume: 3 Issue: 1, 26 - 28, 26.02.2020

Bekir Lutfuoglu

Abstract

In this paper, we present how to formulate an interaction in a non-relativistic equation by employing the Snyder-de Sitter algebra. As a particular example, we employ the generalized symmetric Woods-Saxon potential energy.

Keywords

Generalized symmetric Woods-Saxon potential, , Snyder-de Sitter Algebra

References

• [1] Aounallah, H., Kriz, J., Lütfüoğlu. B. C. Thermal properties of a two-dimensional Duffin-Kemmer-Petiau oscillator under an external magnetic field in the presence of a minimal length. arXiv:\\1909.06187v1.
• [2] Woods, R. D., Saxon, D.D. Diffuse surface optical model for nucleon-nuclei scattering Phys. Rev., 1954. 95, 577.
• [3] Satchler, G.R. Direct Nuclear Reactions, Oxford University Press, Oxford, UK (1983).
• [4] Falek, M., Merad, M., Moumni, M., Bosonic oscillator under a uniform mangentic field with Snyder-de Sitter algebra. J. Math. Phys. 2019, 60, 013505.
• [5] Merad, M., Moussa, M.H., Exact solution of Klein-Gordon and Dirac equations with Snyder-de Sitter algebra. Few Body Syst. 2018. 59, 5.
• [6] Stetsko, M.M., Dirac oscillator and non relativistic Synder-de Sitter algebra. J. Math. Phys. 2015, 56, 012101.