Bound States In The Dirac Equation

In this thesis the framework of Dirac equation has been exploited to make a detailedrnstudy on the relativistic bound state features of Hydrogen-like atoms. The relativisticrnenergy eigenvalues calculated in this framework show the evidence of fine structurernsplitting for various levels. The origin of this feature can be traced to the relativisticrncalculations and the spin of the electron. The interesting features of these resultsrnare that the bound states are observed to lie in the forbidden gap betweenrn-111rn0c2 s Es +1110 c2rn• For the attractive coulomb potential used in this work the boundrnstates were observed to start from just below the positive energy continuum (E> JficJ) of the Dirac equation has also beenrninvestigated in this thesis. We observe that even in this approximation the Diracrnequation is able to generate the exact form of the spin-orbit interaction term. Wernhave also exploited the non-relativistic approximation of the Dirac equation to workrnout the value of the electron magnetic moment

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