tag:blogger.com,1999:blog-9074529824943791718.post7797897480183073070..comments2010-02-17T19:17:21.847-05:00Comments on Soul Physics: Unitary operators and spacetime symmetriesBryanhttp://www.blogger.com/profile/07379669532781325751noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-9074529824943791718.post-57276953449441752522010-02-17T19:17:21.847-05:002010-02-17T19:17:21.847-05:00Oh, sure -- The R operators are just a unitary rep...Oh, sure -- The R operators are just a unitary representation of the rotation group SO(3). That is, you can define them abstractly to be a unitary-operator copy of SO(3). You guarantee the appropriate group properties by demanding that the R's are generated by operators (Sx, Sy, Sz) obeying the commutation relations. That turns out to be all you need to get the above results. <br /><br />Actually, this calculation is just Wigner's, from his original (1939) work on the hydrogen atom. The version found in Sakurai (1994) turns out to be almost the same thing!Bryanhttp://www.blogger.com/profile/07379669532781325751noreply@blogger.comtag:blogger.com,1999:blog-9074529824943791718.post-80992269302106268432010-02-17T18:58:48.089-05:002010-02-17T18:58:48.089-05:00Did you ever figure out why Rz takes the form it d...Did you ever figure out why Rz takes the form it does? (I think that's what you asked me the other day.)Ponder Stibbonshttp://www.blogger.com/profile/18387561315863534902noreply@blogger.com