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: Major help

  1. Mar 3, 2010 #1
    1. The problem statement, all variables and given/known data

    A hydrogen atom given the following state:

    [tex]\psi (r, 0) = A\psi_{100}(r) + (\frac{1}{\sqrt{5}})\psi_{311}(r) + (\frac{1}{\sqrt{3}})\psi_{422}(r)[/tex]

    I must normalize this to solve for the normalization constant [tex]A[/tex]

    2. Relevant equations

    3. The attempt at a solution

    Is it just me or does the integral turn out to be as hellish as it seems? Am I supposed to integrate the whole expression or just the first term?
  2. jcsd
  3. Mar 4, 2010 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    You must integrate the whole expression, since the normalization condition is

    ψ*·ψ = 1​

    But this is not a hellish problem. Here are two easy questions, the answers to which are probably easier than you'd think:

    1. What is the value of

    ψ100ψ 100 = ____?​

    2. What is the value of

    ψ100ψ311 = ____?​
    Last edited: Mar 4, 2010
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook