Browsing by Author "Ayenew, Melaku"

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    Bound States in the Dirac Equation
    (Addis Ababa University, 2000-06) Ayenew, Melaku; Bhatnagar, Shashank (PhD)
    In this thesis the framework of Dirac equation has been exploited to make a detailed study on the relativistic bound state features of Hydrogen-like atoms. The relativistic energy eigenvalues calculated in this framework show the evidence of fine structure splitting for various levels. The origin of this feature can be traced to the relativistic calculations and the spin of the electron. The interesting features of these results are that the bound states are observed to lie in the forbidden gap between -111 0c2 s Es +1110 c2 • For the attractive coulomb potential used in this work the bound states were observed to start from just below the positive energy continuum (E> JficJ) of the Dirac equation has also been investigated in this thesis. We observe that even in this approximation the Dirac equation is able to generate the exact form of the spin-orbit interaction term. We have also exploited the non-relativistic approximation of the Dirac equation to work out the value of the electron magnetic moment