Consider an angular momentum system 1 = 1, whose state space is generated by the base...

 

Transcribed Image Text:

Consider an angular momentum system 1 = 1, whose state space is generated by the base {|1, 1), |1,0),|– 1, 1)}of three common eigenvectors ofL? (whose eigenvalue is2h² ) & L2 (of respective eigenvalues +h, 0 & -h).The state of the system is: 7. TW) = a|1, 1) + B|1,0) + y|1, –1), where a, B, y are three complex parameters given (a) Calculate the mean value of (L) of the angular momentum in terms of а, В &7. (b) Obtain the expression for the three mean values (L), (L) & (L) in terms of them quantities. Consider an angular momentum system 1 = 1, whose state space is generated by the base {|1, 1), |1,0),|– 1, 1)}of three common eigenvectors ofL? (whose eigenvalue is2h² ) & L2 (of respective eigenvalues +h, 0 & -h).The state of the system is: 7. TW) = a|1, 1) + B|1,0) + y|1, –1), where a, B, y are three complex parameters given (a) Calculate the mean value of (L) of the angular momentum in terms of а, В &7. (b) Obtain the expression for the three mean values (L), (L) & (L) in terms of them quantities.