Radial Dirac Equation for Hydrogen-Like Atoms

Radial Dirac Equation for Hydrogen-Like Atoms 

For the solution of the Dirac equation for hydrogen-like atoms, Eq. (6.7), we have succeeded in showing that the angular (and spin) variables can be separated from the radial-dependent part and that the eigenstates of total angular 

With the definition of the radial momentum pr in Eq. (4.108) the Hamiltonian hP can now be expressed in terms of a radial coordinate r only. 

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Radial Dirac Equation for Hydrogen-Like Atoms 205... 

Radial Dirac Equation for Hydrogen-Like Atoms 215 Table 6.3 Quantum numbers sorted by shells and assigned to shell and term symbols. 

The radial Dirac equation for a hydrogen-like atom with nuclear charge Z may be written, in atomic units, in the form... 

The radial Dirac equations, Eqs. (6.69) and (6.70), for hydrogen-like atoms then become. 

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