Unformatted text preview: oF the total spin v S . 3. Consider addition oF two angular momenta v J = v J 1 + v J 2 with j 1 = j 2 = 1. ±ind the eigenstates oF the total angular momentum  jm a in terms oF the product states  j 1 m 1 j 2 m 2 a in two ways: a) Make use oF the tables oF the ClebschGordan coe²cients in Appendix A oF GottFried & Yan. b) The state with m 1 = m 2 = 1 must be a state with j = m = 2 (why?). Apply Jrepeatedly to this state to obtain all other states oF j = 2. ±orm an appropriate linear combination oF the two states with m 1 + m 2 = 1 to obtain the state with j = 1 and m = 1. ±ind the other j = 1 states by applying Jrepeatedly. ±inally, fnd the j = m = 0 state by Forming an appropriate linear combination oF the three states with m 1 + m 2 = 0. c) Compare the results in (a) and (b)....
View
Full Document
 '08
 ELSER, V
 mechanics, Angular Momentum, Work, #, Gottfried, r2 r1, appropriate linear combination, Yan.

Click to edit the document details