Explore BrainMass

Explore BrainMass

    Radial Wave Function

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    (a) Use this reursion formula, c_j+1 = (2(j+l+1-n)*c_j)/((j+1)(j+2l+2)), to confirm that when l=n-1 the radial wave function takes the form:

    R_n,n-1 = (N_n)*r^(n-1)*e^(-r/(na))

    (b) Calculate <r> and <r^2> for states psi_n,n-1,m.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:21 pm ad1c9bdddf
    https://brainmass.com/physics/wavefunction/radial-wave-function-41225

    Solution Preview

    radial wave function stuff This question comes from the second edition of Griffiths' Introduction to Quantum Mechanics. It is question 4.46

    (a) Use this recursion formula:
    c_j+1 = (2(j+l+1-n)*c_j)/((j+1)(j+2l+2))
    to confirm that when l=n-1 the radial wave function takes the form
    R_n,n-1 = (N_n)*r^(n-1)*e^(-r/(na))

    So the idea is to substitute l = n-1 ...

    Solution Summary

    This solution provides explanation for the student to be able to understand the problem and develop exact answer on their own.

    $2.49

    ADVERTISEMENT