Register to reply 
Difference in phase convention for Wigner dfunction 
Share this thread: 
#1
May314, 11:16 AM

P: 27

I am looking for a way to connect the CondonShortleyWigner to the Edmonds phase convention. Specifically I am writing a program to compute Wignerd matrix coefficients
From tabulated values (e.g. even Wikipedia) d^1/2_{1/2,1/2}=(1)^{1/21/2}d^1/2_{1/2,1/2}=sin(theta/2) So d^1/2_{1/2,1/2}=sin(theta/2) But from Edmonds, eq. 4.1.27 with j=1/2,m=1/2 this should have a  sign e.g. d^j_{mj}=(1)^{jm}[(2j)!/((j+m)!(jm)!]^{1/2} [cos(theta/2)]^{j+m} [sin(theta/2)]^{jm} i.e. j=1/2, m=1/2,j+m=0,jm=1  sqrt(1!/(0! 1!)) [cos(theta/2)]^0 [sin(theta/2)]^1, i.e. the sign is off Is this an Edmonds typo or some different phase convention? 


#2
May614, 11:48 PM

Admin
P: 9,489

I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?



#3
Jun3014, 05:04 AM

P: 27

Yes, Edmonds has a typo. There should be no (1)**(jm) there.



Register to reply 
Related Discussions  
Is the wigner D function a representation of SO(3)?  Quantum Physics  1  
Wigner distribution in phase space  Quantum Physics  3  
Phase, Phase Difference and Phase Shift  General Physics  6  
Phase Displacement Convention  Engineering, Comp Sci, & Technology Homework  0  
What is the physical significance of phase or phase difference  General Physics  3 