hw5246sol

# hw5246sol - there is also a quantum analog to the virial...

This preview shows pages 1–9. Sign up to view the full content.

Physics 246, Spring 2007 Homework #5 Due in class, Wednesday, March 7, 2007 Feel free to discuss the problems with me and/or each other. Each student must write up his/her own solutions separately. Each problem is worth 10 points unless otherwise indicated. 1. Liboff, problem 6.16, p. 180. 2. Liboff, problem 6.18, p. 180. 3. Liboff, problem 6.23, p. 182. 4. Liboff, problem 6.30, p. 185. 5. Liboff, problem 6.32, p. 186. 6. Liboff, problem 6.33, p. 186. 7. Just as Ehrenfest’s theorem gives an analog to the classical equations of motion,

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: there is also a quantum analog to the virial theorem, which relates the expec-tation values of the kinetic and potential energies. Prove the quantum analog for a stationary state in one dimension, i.e. show that for a stationary state, 2 h KE i = h x ∂V /∂x i where KE is the kinetic energy. ( Hint: Recall that in a stationary state, expec-tation values of operators are constant in time. Consider the operator ˆ x ˆ p and the relation of its time derivative to its commutator with the Hamiltonian.)...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern