Transcribed TextTranscribed Text

Provide answers to the following questions on separate papers and attach to this problem sheet. Please write your answers clearly. 1. (6 pts) Prove that the following wave function is an eigenfunction of i2 and find the eigenvalue. Determine whether this is an eigenfunction of L2 = to as well. = 1/2 - 1 2. (14 pts) The Hamiltonian of the electron in hydrogen atom (in atomic units) is H = 1 1 a 1 .2 2 - - T 1 , airl trl where meel a sin20362 . The electron is in a state represented by the following wave function: Answer the following questions. (a) (4/14) How many radial nodes and (angular) nodal planes are in 4(0,0)? Justify your answer. (b) (6/14) Prove that (6)0,0) is an eigenfunction of it and find the corresponding eigenvalue. (c) (4/14) Calculate the most probable value of r.

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

    By purchasing this solution you'll be able to access the following files:

    50% discount

    $20.00 $10.00
    for this solution

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available Quantum Chemistry Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Upload a file
    Continue without uploading

    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats