Register to reply

Double bar matrix element

by malawi_glenn
Tags: double, element, matrix
Share this thread:
Feb14-08, 02:22 PM
Sci Advisor
HW Helper
malawi_glenn's Avatar
P: 4,739
Is wondering if anyone knows if the modulus square of the double matrix element that arises in Wigner-Eckart theorem obeys the same "rule" as the ordinary does, if the operator is hermitian:

[tex] |<ajm|M|bj'm'>|^2 = |<bj'm'|M|ajm>|^2 [/tex] if M is hermitian.

Is then :

[tex] |<aj||M||bj'>|^2 = |<bj'||M||aj>|^2 [/tex] ?


I think it does, the Wigner-Eckart theorem states:

[tex] \langle njm|T^k_q|n'j'm'\rangle =\langle nj||T_q||n'j'\rangle C^{jm}_{kqj'm'} [/tex]

where [tex] C^{jm}_{kqj}[/tex] is a Clebsh gordan

So I think things will work out, are someone sure about how these things work, please tell me :)
Phys.Org News Partner Science news on
Security CTO to detail Android Fake ID flaw at Black Hat
Huge waves measured for first time in Arctic Ocean
Mysterious molecules in space

Register to reply

Related Discussions
Access Matrix Element in Mathematica Math & Science Software 5
Stiffness matrix fea plate element Mechanical Engineering 2
Differences between natural element and built element? Biology, Chemistry & Other Homework 4
Dimensions of a probability amplitude (matrix element)? Quantum Physics 3
Matrix element (raising and lowering operators) Quantum Physics 4