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: Diamond Kirlin MD


Diamond Kirlin MD
GPA 3.99

Wayne Roberge

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

Wayne Roberge
Class Notes
25 ?




Popular in Course

Popular in Physics 2

This 19 page Class Notes was uploaded by Diamond Kirlin MD on Monday October 19, 2015. The Class Notes belongs to PHYS 2510 at Rensselaer Polytechnic Institute taught by Wayne Roberge in Fall. Since its upload, it has received 87 views. For similar materials see /class/224889/phys-2510-rensselaer-polytechnic-institute in Physics 2 at Rensselaer Polytechnic Institute.

Similar to PHYS 2510 at RPI

Popular in Physics 2




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: 10/19/15
Instructor TA Class Meetings Attendance Learning Assessment Learning Outcomes Text Website Academic Honesty PHYS2510 Quantum Physics General Information Professor Wayne G Roberge robenN at rpi dot edu JROWL Room 1036 276 6454 Office Hrs Tues amp Fri 200 300 or by appointment Max Katz katzm3 at rpi dot edu Office Hrs Wed 1200 2200 in JROWL Room 1C13 Tues amp Fri 12200 1250 in Greene 120 Not required Problem sets 40 3 exams 45 final exam 15 A student who successfully completes this course will be able to 0 Apply quantum theory to describe nonrelativistic physical systems 0 Solve algebraic and numerical problems in quantum mechanics Understanding Quantum Physics by Michael A Morrison is required httpwwwrpiedudeptphvsDeptZCoursesPHYSZS10admQP Homehtm Check often for homework assignments and special announcements Students are responsible for upholding the rules of academic honesty as spelled out in the Rensseaer Handbook Students are encouraged to collaborate on homework but must write up solutions independently Students may not copy or paraphrase homework solutions obtained from the internet textbooks or any other sources A single instance of cheating will result in a failing grade for the course Back to course homepage Last modified 81810 semi PHYS2510 Quantum Physics Tentative Schedule Fall 2010 Class Day Date Read Topic 1 T 831 113 Introduction and Overview 2 F 93 21 25 8 Uncertainty Principle 3 T 97 31 4 Probability amp Wave Functions 4 F 910 357 Expectation Values 5 T 914 414 Fourier Analysis 6 F 917 45 8 Wave Packets 7 T 921 51 4 Operators amp Observables 8 F 924 Exam 1 9 T 928 55 8 Operators amp Observables 10 F 101 61 4 Schrodinger Equation 11 T 105 67 10 Schrodinger Equation 12 F 108 714 Stationary States T 1012 NO CLASS MONDAY SCHEDULE 13 F 1015 757 Stationary States 14 T 1019 812 4 Simple 1D Potentials 15 F 1022 91 4 Simple 1D Potentials 16 T 1026 Exam 2 17 F 1029 95 79 Quantum Harmonic Oscillator 18 T 112 1011 3 Hermitian Operators 19 F 115 1048 Hermitian Operators 20 T 119 111 3 Commutators 21 F 1112 114 8 Conservation Laws Iuanbtmgtbxfs w4ELYp44 M i W W 7 A gumnarquot C A215 ica He w Ashe J FPmmn 0 S lbnj m w 711 Eyperi menQ mi m W W A a IQOMfIl39Sfcz7I L e See harm047 741 207 On 056 6mm 761 a FnQQOKQI Of I UFAJ 78 ADMEWOk QUQ SCCOccz 1 A 72kg Spec q 007 07 POIC7 0 Lacy7 7 H CIQiSJCFrJWEICCT 1lfQ quot1007 Spnioq 397 quot 1quot COS39DO IW P 39E39S7 39w 4739 quot quot 7 39 quot 39 quot 7 39 quot V W 39 39m39 VWClqssiCa Hechqn39ms 192 39 Laws Nm on s Laws 002 SpecqPeqa2uy f Forccs Crawlyand Q C chomqgneJismr H I39pmlkles Eleclrons praJons P504003 Phenom5a quotqucrquotquot39lsequotlsques ee parI ceng muej39 F W rw 7 WWWW n 7 r 1 so X 00 X XOCosw 77 w r quotW1 quotNow ejrm n ltmeMConsiderwspgc Cc yew DO 0 w Zx Ph m erulvv r WA Mka WM MWmeHWMW MWR M r Mm Mm Amusig 5MP magggim l I I I Is gs No 7 uJo Jqu CCrolcs m cr5em Z MVJ oCm Qmlermnp 747121 7 m wwmj X QAQ Ir CquvCmeow i 010 7 A 5 0 IHNAM WWm ar 7 lm77w WW A WW Comm ms A W w WWWH MM WWW wigs ch M W A A w MW w wwwmmm V w 5 7 quot7 SW Q q H mm w MM M4 M W m MW quot M V b M 39 739 7 If w 7amp5Q x VE J J k AA f f The TwoSlit Experiment We choose to examine a phenomenon which is impossible absolutey impossible to explain in any classical way and which has in it the heart of quantum mechanics in reality it contains the only mystery We cannot make the mystery go away by explaining how it works We will just tell you how it works In telling you how it works we will have told you about the basic peculiarities of all quantum mechanics Richard Feynman The Feynman Lectures on Physics vol III RP Feynman RB Leighton amp M Sands Reading MA AddisonWesley 1965 p 11 Particle Experiment Bullets n50 WALL BACKSTOP P 5 a P2 0 b c Figure The Feynman Lectures on Physics vol III RP Feynman RB Leighton amp M Sands Reading MA AddisonWesley 1965 p 12 Field Experiment Water Waves A x x V 1 quotV n v 391 Av x x 39 N g u xx m V x b 39 M K V g A magma r 71 WALL ABSORBER I we 12 m nztz 12 a 212 0 D C Figure The Feynman Lectures on Physics vol III RP Feynman RB Leighton amp M Sands Reading MA AddisonWesley 1965 p 1 37 Electron Experiment X X 2 i gt ELECTRON x 2 P S cm 2 Paquot h I W2it a Q A J 8 s T 50 2 WALL BACKSTDP F a H 2 3 P23 G b C Figure The Feynman Lectures on Physics vol III RP Feynman RB Leighton amp M Sands Reading MA Addison Wesley 1965 p 14 Do Electrons Have Trajectories xtyt Let s assume the answer is yes Then An electron either goes through Hole 1 OR Hole 2 But then the probabilities should addl Possible fixes Electrons break up No Electrons quantized Different electrons interfere No Do experiment slowly Funky trajectories of single electrons Different Electrons Interfere httpwwyoutubeComwatch vGdnL S4daUampfeaturemor e related Funky Trajectories X X 9 i 2iquot a b C A Closing Hole 1 increases P here B Closing either hole decreases P here Experiments post Feynman forbid this hidden variable theory Figure The Feynman Lectures on Physics vol ill RP Feynman RB Leighton amp M Sands Reading MA Addison Wesley 1965 p 14 Just Measure the Position Ex 3 v 15 o 0 N X Ex 5 Q g 39K M i 394 1 TSS C NE i LiGHT E r E tisounce w x t quot A ELECTRON 2 GUN x quotx I I Pia P2 Figure The Feynman Lectures on Physics Quantum Mechanics RP Feynman RB Leighton amp M Sands Reading MA AddisonWesley 1965 p 1 7 Results Electrons arrive as single quanta as before Each arrival preceded by flash near ONE hole YAY 0 Electron DOES go through one hole or the Other And this suggests trajectories DO exist but The interference pattern disappears Tracking the electron CHANGES the probabilities If we lower the light intensity Some electrons don t scatter light and some do Electrons that located by flashes no interference Electrons not located interference If we reduce the light wavelength 7t We can only locate the electron to precision Axk Same results if Ax ltlt slit width Interference reappears Ax gt slit width If we don t locate the electron we do get interference If we locate the electron we get NO interference No location process is gentle enough to avoid this The Uncertainty Principle Ax Apx 3 h Ax uncertainty in position x Apx uncertainty in momentum h h27t where h 6626 x 1034 J s Planck s const Localizing to Ax lt D implies Apx gt hD This washes out the interference pattern Implications of Uncertainty Principle Fundamental limit on what can be measured Cannot be circumvented Precludes precise measurement of phase space location Phase trajectories cannot be predicted exactly Causality and determinacy fail Particle state doesn t exist UNTIL we measure it Things on a very small scale behave like nothing that you have any direct experience about They do not behave like waves they do not behave like particles they do not behave like clouds or billiard balls or weights on springs or like anything that youhave ever seen Richard Feynman The Feynman Lectures on Physics vol III RP Feynman RB Leighton amp M Sands Reading MA AddisonWesley 1965 p 11 The exact sciences also start from the assumption that in the end it will be possible to understand nature even in every new field of experience but that we may make no a priori about the meaning of the word understand Werner Heisenberg Quoted in Intro to the Quantum Theory 2nd Edition D Park New York McGraw Hill 1974


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

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."

Jennifer McGill UCSF Med School

"Selling my MCAT study guides and notes has been a great source of side revenue while I'm in school. Some months I'm making over $500! Plus, it makes me happy knowing that I'm helping future med students with their MCAT."

Bentley McCaw University of Florida

"I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"


"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.