Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Parity operators and anti commutators

  1. Feb 2, 2012 #1
    I am trying to understand the following which is proving difficult:

    It is found that (and the proof here is clear)

    [P, Jj] anticommutes with Vi

    Where P = parity operator
    Jj and Vi are the j th and i th components of the angular momentum vector and an arbitrary vector respectively.

    It is then stated that because P has the same anticommuting property, that [P,Jj] must be proportional to P ,ie that

    [P,Jj] = λP

    Where λ is a scalar and the same for all j

    I am unclear how this is imputed. Why should they be proportional.

    Thanks in advance

    (ref is Binney and Skinner QM book Chapter 4 page 66
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?