New User Special Price Expires in

Let's log you in.

Sign in with Facebook


Don't have a StudySoup account? Create one here!


Create a StudySoup account

Be part of our community, it's free to join!

Sign up with Facebook


Create your account
By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here


by: Vernice Schuster

ContemporaryPhysicsI PHYS113

Marketplace > Drexel University > Physics 2 > PHYS113 > ContemporaryPhysicsI
Vernice Schuster
GPA 3.54


Almost Ready


These notes were just uploaded, and will be ready to view shortly.

Purchase these notes here, or revisit this page.

Either way, we'll remind you when they're ready :)

Preview These Notes for FREE

Get a free preview of these Notes, just enter your email below.

Unlock Preview
Unlock Preview

Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

View Preview

About this Document

Class Notes
25 ?




Popular in Course

Popular in Physics 2

This 2 page Class Notes was uploaded by Vernice Schuster on Wednesday September 23, 2015. The Class Notes belongs to PHYS113 at Drexel University taught by Staff in Fall. Since its upload, it has received 13 views. For similar materials see /class/212527/phys113-drexel-university in Physics 2 at Drexel University.


Reviews for ContemporaryPhysicsI


Report this Material


What is Karma?


Karma is the currency of StudySoup.

You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/23/15
PHYS 113 Quantum Mechanics Waves and Interference In much of our class we have taken the View that everything in the world behaves more or less like a particle Even photons which we describe by their wavelength note the wave are said to have a particular position and velocity We ve spent very little time talking about the wavelike properties of either light or say electrons What do we mean that light has a particular wavelength Consider the classic two slit77 experiment in which a beam of monochromatic all 1 wavelength light is shined at two slits in an otherwise opaque boundary What happens The light behaving like a wave emanates out from each of the slits independently What does this mean from a mathematical point of view Well remember that light is the carrier of the electrical eld Thus the electrical eld and similarly the magnetic eld might at a distance 951 from the rst slit has a value E1lt1 t E0 coskx17wt 1 where k for now is an unknown constant and w is the angular frequency of oscillations We might ask how bright would the light appear on the wall if there were only 1 slit77 Well the intensity of the light is simply the square of the electrical eld Ham 5 E3 cos2kx1 7 wt However if we average this over time we nd that the cos2 averages to 12 and thus the average intensity is just E3 am 7 7 In other words except for the fact that the light is more or less pointed forward and thus the brightness will fade off near the edges the brightness would form a constant patter Now what happens when we add a second slit We get Em E0 coskx1 7 wt coskr2 7 14 Quantum Mechanics7 1 PHYS 113 Quantum Mechanics tot E5 cos2k11 7 wt cos2lcx2 7 wt 2 cosk11 7 wt coskxg 7 0 E5 cos2k117 wt cos2lcx2 7 wt cosk11 7 12 coskx1 x2 7 20 ltItotgt E5 1 coskx1 7 l7ve used a bunch of trig identities here but nothing you haven7t seen before Now what does this mean It means that if 1011712 27m 71 M72 71 0 1 2 then the waves add constructively and you see a bright spot If on other hand 1011 7 x2 27rn 12 then the cos function gives 71 and the average intensity is zero You see a dark spot Remember our basic method We had several waves We added them together and we squared the result Thus the square of the wave7function tells us something important It works with electrons too Now what happens if instead of ring a beam of light we re a beam of electrons through the two slits lmagine further that we have a scintillator on the far wall so that the brightness of the wall is proportional to the number of electrons striking it What pattern would we expect Surely you might think electrons behave like particles and thus you might expect that electrons might simply pass through one slit or the other and form a double peaked pattern like that seen on the left lwl lwiwzl 13 W212 a 4 ludh39rrlunl Accnmul lcd roumsmln umuhmin But in fact electrons behave exactly like light and thus have the multiply peaked behavior as seen on the right What does this mean It means that electrons and all other particles as well have a wave7 like pattern not unlike that of light We call this wave7function 11 and it has the property that P000105 WINde 2 For example consider a particle trapped in a 1d box It might have a particular wave7 Quantum Mechanics7 2


Buy Material

Are you sure you want to buy this material for

25 Karma

Buy Material

BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.


You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

Why people love StudySoup

Steve Martinelli UC Los Angeles

"There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

Allison Fischer University of Alabama

"I signed up to be an Elite Notetaker with 2 of my sorority sisters this semester. We just posted our notes weekly and were each making over $600 per month. I LOVE StudySoup!"

Jim McGreen Ohio University

"Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."


"Their 'Elite Notetakers' are making over $1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!

Refund Policy


All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email


StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here:

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.