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The Schrodinger wavefunction for the hydrogen atom scales as

*r^l*for small*r*, where*l*is the orbital angular momentum. Is this changed in any dramatic way for the Dirac equation wavefuction? Does the small component of the Dirac spinor have the same small-*r*asymptotic behaviour as the large component? Can someone tell me the small*r*behaviour for the*1S j=1/2*state and*2P j=1/2,3/2*states? Thanks in advance.
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