PHY-661 Quantum Mechanics I
Midterm Exam
Prof. C. Armendariz-Picon
October 18, 2012
Problem 1
1. Show that |A|
in your proof.
= |A | . Please make sure to justify each step
2. Show that [A A ]2 = A2 A 2 .
3. Let A be an hermitian operator. Show that exp(i
PHY-661 Quantum Mechanics I
Final Exam
Prof. C. Armendariz-Picon
December 13, 2012
Problem 1
Consider the harmonic oscillator.
1. Show that the expectation value of the potential energy in an energy
eigenstate equals the expectation value of the kinetic e