assignment7

# assignment7 - PHYS122 2010W Assignment 7 Due 17:00 Thursday...

This preview shows pages 1–3. Sign up to view the full content.

PHYS122 2010W Assignment 7 Due: 17:00 Thursday 2010-03-11

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

View Full Document
PHYS122 Assignment 7 UW User ID: - Your UW User ID is not the same as your Student Number. Surname: Given Name: 1. Consider a particle of mass m in an infinite square well of width a . The wave function is given by ψ ( a ) = A sin( kx ) where k = nπ/a , n = 1 , 2 , 3 ... For a particle in the ground state, n = 1 , calculate (a) (2) the expectation value of the position, h x i , where ˆ x = x is the position operator h x i = (b) (2) the expectation value of the square of the position, x 2 , where x 2 is the operator x 2 = (c) (0) the square of the uncertainty in the position, Δ x 2 = x 2 - h x i 2 . Δ x 2 = (d) (2) the expectation value of the momentum, h p i , where ˆ p = - i ~ d dx is the “momentum operator” h p i = (e) (2) the expectation value of the square of the momentum, p 2 , where - ~ 2 d 2 dx 2 is the operator p 2 = (f) (0) the square of the uncertainty in the momentum, Δ p 2 = p 2 - h p i 2 . Δ x 2 = (g) (2) Calculate the product Δ x Δ p and compare your answer to the expected result.
This is the end of the preview. Sign up to access the rest of the 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