Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Can I get the solutions for these Quantum Mechanics problems from Griffith textbook? Textbook: Introduction to Quantum Mechanics, 2nd edition, by David J. Griffiths (Pearson
Can I get the solutions for these Quantum Mechanics problems from Griffith textbook?
Textbook: Introduction to Quantum Mechanics, 2nd edition, by David J. Griffiths (Pearson Prentice Hall, Upper Saddle River, NJ, 2005).
*Problem 2.10 (a) Construct 12(.x). (b) Sketch vo. VI, and v2. (c) Check the orthogonality of vo, vi, and v2, by explicit integration. Hint: If you exploit the even-ness and odd-ness of the functions, there is really only one integral left to do. *Problem 2.11 (a) Compute (x), (p). (x2), and (p=). for the states wo (Equation 2.59) and w1 (Equation 2.62), by explicit integration. Comment: In this and other problems involving the harmonic oscillator it simplifies matters if you introduce the variable & = vmw/h x and the constant a = (mw/ith) 1/4. (b) Check the uncertainty principle for these states. (c) Compute (7) (the average kinetic energy) and (V) (the average potential energy) for these states. (No new integration allowed!) Is their sum what you would expect? *Problem 2.12 Find (x), (p), (x2). (p?), and (T), for the ath stationary state of the harmonic oscillator, using the method of Example 2.5. Check that the uncertainty principle is satisfied.dn.com/5f5fd5ca0667c/5545463?X-Blackboard-$3-Bucket=learn-us-east-1-prod-fleet01-xythos&X-Blackboard-Expiration=1... * 124 / 484 150% + 1 in that case). But this is only possible, in general, if the two observables are compatible. *Problem 3.13 (a) Prove the following commutator identity: [AB. C] = A[B. C] + [A. C]B. [3.64] (b) Show that [x". p] = ihnx"-1. (c) Show more generally that [f (x), p] = ih- df dx [3.65] for any function f (x). instane Niels Bohr was at pains to track down the mechanism by which the measurement of x (forStep by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started