Dirac particle in a spherical potential box

  • #1
Hello, I'm studyng relativistic quantum mechanics by the book Relativistic quantum mechanics. Wave equations - Greiner, W. and I'm trying to derive the energy eingenvalues for s1/2 states, so I have the equation that I uploaded with the name eq1.jpg. In the text the author says, "If we assume R0 to be very small mcR/h<<1, we may solve this equation approximately by expanding in terms of mcR/h" (the h is h bar), leading to the table attach with the name table1.jpg, but I tried expanding the tan, and I can't solve that.

Could anyone help me?

A lot of thanks
 

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