spin dependent selection rules for photonic transitions in hydrogen-like atoms自旋相关的选择规则所以原子的光子转换.pdfVIP

Journal of Modern Physics, 2011, 2, 787-791 doi:10.4236/jmp.2011.28092 Published Online August 2011 (http://www.SciRP.org/journal/jmp) Spin Dependent Selection Rules for Photonic Transitions in Hydrogen-Like Atoms 1 2,3 Ziya Saglam , Mesude Saglam 1 Department of Physics, Faculty of Science, Aksaray University, Aksaray, Turkey 2Department of Physics and Astronomy, King Saud University, Riyadh, Saudi Arabia 3Department of Physics, Ankara University , Tandogan, Ankara, Turkey E-mail : zsaglam@.tr, saglam@.tr Received March 22, 2011; revised April 28, 2011; accepted May 19, 2011 Abstract Spin dependent selection rules for photonic transitions in hydrogen-like atoms is derived by using the solu- tion of Dirac equation for hydrogen-like atoms. It is shown that photonic transitions occur when [ j 0,1, 2 while mj 0, 1, 2 ]. By applying the spin dependent selection rules, we can explain the observed (6 s 7 s) transition in Cesium (Cs) atom. Keywords: Dirac Hydrogen Atom, Hydrogen-Like (Hydrogenic) Atoms, Photonic Transitions, Selection Rules, Fermi-Golden Rule, Transition Rate 1. Introduction hydrogen-like atoms. In Section 4 we give the explana- tion of the (6 s - 7 s) transition of Cs in terms of the spin Applications of hydrogen-like atoms in technology are dependent selection rules. In Section 5 we give the con- more than the hydrogen atom itself. Accurate determina-