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: Quantum Mechanics - Quick integral probability question

  1. Nov 18, 2013 #1
    Okay so my book says (the context is electron hydrogen energy levels) the probability of finding the electron within dv=dv(r,∅,θ) is :

    ψψ*r^2sinθdθd∅ [1]

    where ψ is the wavefunction

    And to find within dr of r is : ∫∫ψψ*r^2sinθdrdθd∅,[2] where the inner integral ranges over 0 to PI and the outter from 0 to 2PI

    I don't really understand this. Why doesn't the first integral [1] for dv not require dr? As isnt the volume element given by r^2sinθdrdθd∅?

    I also dont really understand why we don't need to include some integral limits corresponding to dr in [2]

    If anyone can help explain things this would be greatly appreciated . Ta in advance !!
  2. jcsd
  3. Nov 18, 2013 #2

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper

    Looks like a typo to me.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted