(a) Show explicitly that parity rules give the spinorbit term (1 13 18) for U(r(vector)) antisymmetric in the x and y directions and symmetric in the z directions (b) What would this term be if U(r(vector)) had an antisymmetric term only in the x direction (a) HS SO 2Uxxoz sinkxa 0 0 0 2Uxxoz sin kya 0 0 (1 13 18)

Question: (a) Show explicitly that parity rules give the spinorbit term (1.13.18) for U(r(vector)) antisymmetric in the x- and y-directions and symmetric in the z-directions. (b)

(a) Show explicitly that parity rules give the spin–orbit term (1.13.18) for U(r(vector)) antisymmetric in the x- and y-directions and symmetric in the z-directions. (a) HS = SO 2Uxxoz sinkxa 0 0 0 2Uxxoz sin kya

(b) What would this term be if U(r(vector)) had an antisymmetric term only in the x-direction?

(a) HS = SO 2Uxxoz sinkxa 0 0 0 2Uxxoz sin kya 0 0 (1.13.18)

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