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: Citlalli Sauer


Citlalli Sauer
GPA 3.75


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 7 page Class Notes was uploaded by Citlalli Sauer on Tuesday October 20, 2015. The Class Notes belongs to PHYS410 at San Diego State University taught by Staff in Fall. Since its upload, it has received 22 views. For similar materials see /class/225321/phys410-san-diego-state-university in Physics 2 at San Diego State University.


Reviews for PHYS410


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: 10/20/15
Lecture 3 Outline Probability Density 0 Probability theory continuous variables 132 o Normalisation and complex numbers 14 continuous vs discrete variables 0 Probability of measurement between a and LE dx ie Px padr Where prob density 0 thus probability of measurement between a and b b Pab d9 Discrete Continuous 1 Silo PO 1 fl p93d95 ltjgt 2390ij ltxgt f1 aspltxgtdx ltfjgt 2390 fjPj ltf93gt fl f56p95d93 02 Aj2gt ltj2gt W2 02 A2gt 99gt 56gt2 Rock falling off cliff Grif ths Example 11 cliff height h Rock accelerates 9 position 9315 9152 Velocity ill f gt ie dt 3 1 Total ight time T ie 93T h Probability camera ashes in interval dt is dt dx 9 dx 9 g 1 dx T gtlZh glZxVZh Zxhx Probability density px 2 O S a S h See Grif ths Figure 16 probability density px Rock still falling Off cliff Grif ths Example 11 contcl 0 Probability density px O S a S h hltgtd 1 h id 1Mill 1 9 92 9 92 A NEo NE 0 h 1 h 1 1 2 3 h 9 a xdx midx x ltgt pltgt Mf0 Mg 0 Wavefunction Normalisation Wavefunction x 15 probability density IJU t2 00 IJ9IS2 dx 1 But how does this work with the Schr dinger Eqn 8IJU t E2 32IJU t 75 7 V 15 Il 15 Note if11xt is a soln then so is A x t nonnormalisable trivial soln x t O nonnormalisable solns Where f IJU t2 00 squareintegrable solns f11xt2 1 Wavefunction Evolution 0 Assuming f Ilxt O2 dx 1 What about t later 0 ie does the Schrodinger Eqn keep it normalised d 00 00 E m Ilxt2 dx OO q 2 6w mu da Using the product rule a 2 a myav Given the Schrodinger Eqn and its conjugate 8amp1 23971 6211 i 6amp1quot 23971 WWquot 239 11 11 3t 2m 3x2 EV and 3t 2m 3x2 EV Wavefunction Evolution contd w g a 1 2m 3 a IJ 2 3t x7tl And the Change in the normalisation is given by d 00 00 8 iii 8Q 8Q IJ 2 IJ 11 d dt 00 I Sam 00 3m 2m 3x 3x 9 00 iii 8 8V IJ IJ 2m 3x 3x O 0 Assuming lim 9 gt 00 x t gt O


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."

Kyle Maynard Purdue

"When you're taking detailed notes and trying to help everyone else out in the class, it really helps you learn and understand the I made $280 on my first study guide!"

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.