1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

[Intro QM] A bit confused on spin of system notation

  1. Jan 23, 2015 #1
    1. In Griffiths, in the section where he discusses the 'total' spin of two spin 1/2 particles (''Addition of angular momenta'') he starts of using a notation new to me. Namely ##\chi=\chi_1\chi_2## where I know what ##\chi_1## and ##\chi_2## represent independently, which has been discussed in the previous chapter. They were a representation of the spin relative to a basis before, and hence vectors. How to read this notation, is it a product? Is it some union-type of thing?
     
  2. jcsd
  3. Jan 23, 2015 #2

    DEvens

    User Avatar
    Education Advisor
    Gold Member

    It is kind of a sloppy notation.

    Think what chi(x) means for a single particle. It means when you take chi*(x) times chi(x) you get the probability density function, that is, the probability that the particle will be found in the range dx of x.

    What will you write down for two particles? Think about a combined wave function for particle 1 and particle 2. So chi1(x1) gives, after the same process, the probability density function for particle 1 to be in dx1 of x1, and chi2(x2) gives the same for particle 2 in dx2 of x2.

    So what function would you need so that when you took chi* times chi you got the probability that particle 1 was in dx1 and particle 2 was in dx2?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: [Intro QM] A bit confused on spin of system notation
Loading...