( b ) Please identify the term for spin - orbit coupling . Show that the total spin - orbit coupling effect includes the effective spin Zeeman...

(a) From the non-relatvistic Dirac equation, identify the term , and show that its expression is consistent?

(b)Identify the term for spin-orbit coupling

Q1 . ( 20 points )( a ) From the non - relativistic Dirac equation , please identify the term for the relativistic correction of thekinetic energy , and show that it's expression is consistent with the second- order term of the Taylor'sexpansion of the energy dispersion E = Vp Z c 2 + m Z c t .( b ) Please identify the term for spin - orbit coupling . Show that the total spin - orbit coupling effectincludes the effective spin Zeeman effect and the Thomas precession .