8.6. a. A particle has s=3/2. The operator S++ is defined to be the square of the raising operator: S++ = (S+)^2, where S+ is the usual raising operator:
S+|sms = h (s(s+1) - ms(ms+1)|sms +1)^1/2
Derive the matrix corresponding to the operator S++.
b. What is the matrix corresponding to the adjoint operator (S++)?
See attachment for better symbol representation.© BrainMass Inc. brainmass.com October 16, 2018, 8:39 pm ad1c9bdddf
Hello and thank you for posting your questions to Brainmass.
The solution is attached in two files which are identical in content but differ in format. One is an MS-Word document while the other ...
This in-depth solution has step-by-step calculations to derive the matrix corresponding to the operator and the adjoint operator of S++.
Calculating the values of Spin Angular Momentum
Calculate the value of <S_x>,<∆S_x>,<S_y>,<∆S_y> ,<S_z> ,<〖∆S〗_z> for the wave function
1/√2 [exp⁡(iδ/2) |1/2 1/2>+exp⁡((-iδ)/2)|1/2-1/2>]
Note the labels in the kets are |〖sm〗_s>.
(Review question in attachement)View Full Posting Details