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!

Homework Help: How to write this state vector in coordinate basis?

  1. Apr 30, 2015 #1
    1. The problem statement, all variables and given/known data
    I am given this state, which is the result of a lamba particle decaying into a proton and neutral pion. Initial j = 3/2. The final state can theoretically be written as:


    I have already determined that:
    alpha_p = Sqrt[2/3]
    beta_p = Sqrt[1/3]
    alpha_d = -/+ Sqrt[2/5]
    beta_d = +/- Sqrt[3/5]

    (hopefully that's correct)

    Express the above state vector in the coordinate basis and show that the angular distribution of
    the two final state particles is given by,

    2. Relevant equations
    I know that the coordinate basis function will be psi(r) = <r|psi>

    3. The attempt at a solution
    I just have no idea how to calculate <r|psi> on a state vector that only has angular momentum eigenvalues shown (with some coefficients).

    If someone can point me in the right direction, I would really, really appreciate it.
  2. jcsd
  3. May 1, 2015 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    Hint: spherical harmonics.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted