Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

BOOK: Quantum Mechanics, A Paradigms Approach, David H. McIntyre CHAPTER: 7, 8 AND 9. Please solve the following problems. 51. For a hydrogen atom whose

BOOK: Quantum Mechanics, A Paradigms Approach, David H. McIntyre

CHAPTER: 7, 8 AND 9.

Please solve the following problems.

image text in transcribed
51. For a hydrogen atom whose state at: = 0 is given by LF : A (/1300 + % $211 + f (#100 5 3 (a) Determine the expectation value of the energy (b) Determine the expectation value of L2 (c) Determine the expectation value of LC 52. For a hydrogen atom whose state at: = 0 is given by '1' = A 111300 + % $211 + i (#100 (a) Determine the expectation value of the energy (b) Determine the expectation value of L2 (c) Determine the expectation value of Ll 53. Consider two identical particles each with angular momentum 1' = 1. Denoting the angular momentum states of each particle by |F = l, m)] and |f = l, m')2 then eigenstates of L2 = L2\") +L2l2l can be written as |t' = 1, m)1|f = 1, m'); with eigenvalue m2 = m +m'. (a) Construct the eigenstate with the largest value of mZ (What total 1' = (max must this state correspond to?) (b) Using the total lowering operator L- = L-(I) +L_[2), determine all the states with successively smaller values of mz. (c) Construct a new eigenstate by using orthogonality on the state of {max with m2 = fmax 1. (What total F must this state correspond to?) (d) Generate all lower mz states using the total lowering operator. (e) Continue this procedure until all states of [L2 and L2. (Follow the procedure used in class to nd the states of j = g and j = 1 from the l' = l and s = % states. 2

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Near-earth Laser Communications

Authors: Hamid Hemmati

2nd Edition

042953261X, 9780429532610

More Books

Students also viewed these Physics questions

Question

a. What is the title of the position?

Answered: 1 week ago

Question

discuss the importance of ethical practice for the HR profession;

Answered: 1 week ago

Question

reference your work in a credible way.

Answered: 1 week ago

Question

read in a critically evaluative way;

Answered: 1 week ago