Ph 311/312 course details

Introduction to Modern Physics

these two courses are considered to be a sequence, so it does not make sense to join PH 312 without proper preparation by either PH 311 or some similar course taken somewhere else, Last updated: February 20, 2012

 

Lecturer: Peter Moeck, Dr. rer. nat. (Crystallography), Associate Professor of Physics, Office hours: room 404, Science Research and Teaching Center, Tuesday and Thursday: 12.00 to 12:30 pm (you can walk with me up to the office right after class if you want)

e-mail: pmoeck at pdx dot edu, web: http://www.physics.pdx.edu/~pmoeck/index.html

telephone: 503 725 4227 (but I do prefer communicating per e-mail with my students), do not send e-mail attachments to me, e.g. late homeworks, I do not open them as a matter of principle, late homeworks can however be send as attachments to Taylor Bilyeu tbilyeu@pdx.edu and/or tbilyeu@gmail.com

his weekly deadline for receiving homeworks is always Tuesday 1 pm !!

office hours of teaching assistant Taylor Bilyeu (tbilyeu at pdx dot edu): Tuesday and Thursday: 1:00 to 1:30 pm

room 201A, Science Building I; tel. 503 725 4248

Solutions to the homeworks are posted on Tuesdays afternoons by Taylor on the internet, see http://web.pdx.edu/~tbilyeu/

Homework links get updated every week on Thursday late afternoon/evening

SOLUTIONS to HOMEWORKS get posted every Week on Tuesday early afternoon by THE Teaching Assistant for this course, he also keeps the not collected homeworks)

For discussions on the homework problems and their grading you have to approach the teaching assistant first, only if the two of you cannot resolve the matter together, I will talk to you about them in the presence of the teaching assistant. Similarly, only if the teaching assistant agrees will your homework score be changed, do not postpone issues with him or her or him up to the last week!

 

What will be covered in PH 311/312?

 

The revolutions in the concepts of physics in the early 20th century: special relativity, Introduction to quantum mechanics: black-body radiation, energy quantum ideas, Bohr/Rutherford theory of the atom, Schroedinger equation, wave functions, electronic structure of atoms, periodic table, nuclear structure, radioactivity, fission and fusion, (+ very briefly: statistical physics and solid state physics). 

 

Prerequisite: Ph 203, or Ph 213 and Mth 252, PH 312 is to be taken after PH 311 or a similar one quarter/one semester course, it does make no sense at all to show up for phys 312 without proper introduction to the subject

 

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highly recommended text books:

 

Concepts of Modern Physics by A. Beiser, McGraw-Hill, sixth, fifth or fourth editions, (6th edition by some Indian publisher in paperback is very good value for your money)

 

Thornton and Rex, Modern Physics, any of three editions so far

 

 

 

Ph 311

your homework assignments

HW1, HW2, HW3, HW4, HW5, HW6, HW7, HW8, HW9,

 

Ph 312

 

your homework assignments

HW1, HW2, HW3, HW4, HW5, HW6, HW7, HW8, HW9,


Supporting web pages with simulations:

 

http://www.brookscole.com/cgi-wadsworth/course_products_wp.pl?fid=M20b&discipline_number=13&product_isbn_issn=0534417817

 

http://wps.aw.com/aw_harris_mp_2/

 

http://enjoy.phy.ntnu.edu.tw/data/458/www/simulations/simsb6fb.html?sim=SternGerlach_Experiment

 

http://www.cengage.com/cgi-wadsworth/course_products_wp.pl?fid=M20b&flag=student&product_isbn_issn=9780534493394&disciplinenumber=13

 

http://physics.prenhall.com/taylor

 

 

It is a good idea to download “lecture manuscripts” below; BUT you do need to update/modify them during class yourself in order to learn

 

manuscripts on the basis of Thornton/Rex slides

 

chapter 1 here

 

chapters 2/15 here

 

chapter 3 here

 

chapter 4 here

 

chapter 5 here

 

chapter 6 here

 

chapter 7 here

 

chapter 8 here

 

chapter 9 here

 

chapter 10 here

 

chapter 11 here

 

chapter 12 here

 

chapter 13 here

 

chapter 14 here

 

chapter 16 here

 


older lecture manuscript/partly included in the power point slides above

 

for relativity can be downloaded/printed as *.doc or *.pdf

 

for an alternative approach to relativistic mechanics that does not use the concept of relativistic mass, about which Einstein said late in his life: not good - no clear definition can be given. It is better to introduce no other mass concept that the rest mass click here, relativistic momentum is explained by the concept of relativistic velocity - the so called “One map two clock approach”

 

lecture manuscript for chapter 2 (quantum theory of light) can be downloaded I word format here and here in pdf

lecture manuscript for Applied Modern Physics can be downloaded as *.doc or *.pdf

lecture manuscript for chapters 3 can be downloaded here

 

lecture manuscript for chapters 4 can be downloaded here

 

lecture manuscript for chapter 5 can be downloaded here

 

lecture manuscript for chapter 6 can be downloaded/printed here

 

lecture manuscript for chapter 6/tunneling phenomena can be downloaded here

 

the manuscript on tunneling/frustrated total internal reflection in electromagnetic and water waves can be downloaded here

 

part 1 of lecture manuscript for chapter 7 can be downloaded/printed here

 

part 2 of lecture manuscript for chapter 7 can be downloaded/printed here

 

part 3 of lecture manuscript for chapter 7 can be downloaded/printed here

 

lecture manuscript for chapter 8/multi electron atoms can be downloaded here

 

statistical physics part II can be downloaded/printed here ; applications of statistical physics to electrical and thermal conductivity can be downloaded/printed here

 

lecture manuscript for chapter 9, part I (Beiser) Statistical Mechanics can be downloaded/printed here

 

here is the link in *.pdf, on superconductivity, I do not have it in word as a colleague has given it to me, the respective section in Beiser is 10.9 and 10.10

 

Lecture manuscript for first part of chapter 13 is here

 
Lecture manuscript second part of chapter 13/14 is here

 

Lecture manuscript for superconductivity (in Beiser within the chapter on solid state physics) can be downloaded/printed here
 

As a special treat, you will hear Richard P. Feynman giving a lecture out of the computer system in class, lecture manuscript for (Feynman) 1st lecture can be downloaded here in word and here in pdf

lecture manuscript for (Feynman) 2nd lecture can be downloaded here in word and here in pdf

 

watch Richard Feynman giving the The Douglas Robb Memorial Lectures at 
http://www.vega.org.uk/video/subseries/8 (streaming video for free) have some fun at http://physicsweb.org/article/world/16/9/2
 
if time permits, we will also explore resources b y PBS/NOVA
http://www.pbs.org/wgbh/nova/elegant/
 
Is the Moon there when Nobody looks, Reality and the Quantum Theory?, the last lecture in the course
 
 
 
 
Possible extra credit, but only it the whole class wants it:

 

For PHY 311, you may like to read the Planck PAPER and answer for yourself the following questions: Which novel idea(s) did Planck introduce in the derivation of his black body radiation formula? In which paragraph do(es) it (they) first show up? What are (is) the equation number(s) relating to this (these) new idea(s)? Where did he get an estimate of h from?

 

Also for PHY 312, you may like to read about the important theorem by Bell and his famous inequalities in two popular science papers by David Mermin (one without much physics, one with a bit more physics ) and about the experimental verification that Einstein, Podolsky and Rosen have probably been wrong in the Aspect nature paper. We will also cover this in the last two lectures, but without preparations the very elegant reasoning by David Mermin may be difficult to comprehend. For the extra credit answer the following questions.

 

This is a two quarter course, everybody that enrolls only in the second term is assumed to have sufficient knowledge in Modern Physics form some other course!

It is best to take the two courses within one academic year as there will be frequent references back to the material covered in the first quarter throughout the second quarter !!

You better come to the lectures as it is the things I pay special attention to in the lectures that will be asked off you in the tests and exams, but I do not take a register

Homework credit contribute one third to your final course grade (you better do your homework as this will prepare you well for the tests and final exam, if you don not at all you will get zero credit in this section!), Homeworks will be set on this webpage on Thursday late afternoon/evening. Homeworks have to be handed in on Tuesdays before the lecture, as their solutions will be posted soon after this on the web. All homework solutions and a correct version of the midterm exam will be published on the webpage of the teaching assistant.

your final grade will be calculated from your individual scores:

33.33 % Home works

33.33 % Midterm exam, 6th week (February 14, 2012)

33.34 % Final exam, all topics after 10 weeks,

the exam questions might be similar to homework questions but they will be biased towards the tougher ones, so you better check very carefully what went wrong in the homeworks so that you do better in the exams, you can have a look at your final exam personally at office hours after the course.

These final grade percentages make sure you have two thirds of your grade fixed before the final exam, so there is no need to get nervous at exam time as the final is unlikely to change much.

You get to keep your graded midterm exam, the final exams remain with the physics department.

Final exam date: as set by PSU, typically Tuesday of finals week, 10:15 am to 12:05 pm

Relative strengths and weaknesses of selected textbooks that can be used with this course

Concepts of Modern Physics by A. Beiser, McGraw-Hill, 6th edition, 2002, 542 pages, (quite easy going but pretty much to the point, a few bits and pieces missing, but a good thread throughout, unfortunately, there are quite a few typos in the 6th edition, but the 5th and 4th are just as good and may be cheaper) you may get the paperback version over http://www.tatamcgrawhill.com/ or over http://www.amazon.com/

Modern Physics for Scientists and Engineers by Stephen T. Thornton and Andrew Rex, 3rd edition, Brooks/Cole, 2006, about 600 pages without appendices, (good and comprehensive most of the time, sometimes too much detail and not enough explanations of the more important concept)

Modern Physics by R. A. Serway, C. J. Moses, and C. A. Moyer 3rd edition, Saunders 2005, 600 pages without appendices and index, it is pretty good, I served as one of the accuracy reviewers, if you are just coming for PH 311, that could be your book, if you do the whole sequence PH 311 and PH 312, I recommend Beiser and/or Thornton/Rex

Modern Physics by P.A. Tipler, R.A. Llewellen, 4th edition, Freeman, 2007, http://bcs.whfreeman.com/tiplermodernphysics4e/ (a bit heavier but the classical text for the serious student, best on postmodern particle physics and cosmology, I served as one of the chapter/concept reviewers)

Modern Physics for Scientist and Engineers by John R. Taylor, Chris D. Zafiratos, Michael A. Dubson, 2nd edition, Prentice Hall, 2004, 720 pages, (many good examples in the text, good reviews of classical physics concepts from time to time, comprehensive atomic mass table, operators and expectation values first show up in the section on the hydrogen atoms, rather than in the section on quantum mechanics in one dimension, makes it a bit more difficult than perhaps necessary,)

Modern Physics by R.A. Serway and C.J. Moses, 1st edition, about 500 pages without index, by the way, do not purchase a copy of the 2nd edition (Saunders, 1997) including MP Desktop software that is supposed to help the students and lots of optional text which kind of makes it difficult to follow the thread), my 2002/2003 students did not like it much, but the first and 3rd editions are fine

Modern Physics by Randy Harris, 2nd (and earlier edition under the title “Nonclassical physics: beyond Newton's views”), Wiley, 2008, 554 pages plus some 100 pages with appendices, (good, conceptual, some formula and material missing but good descriptions, not much on the history of modern physics, but many examples on how modern physics is used in current technologies, …)

Modern Physics by Kenneth Krane, 3rd (and both earlier editions), Wiley, 2012, about 600 pages, (more conceptual, frequent connections to classical physics, quite easy going, sometimes too simplistic for my liking, but a good book)

Modern Physics by Hans C. Ohanian, 2nd edition, Prentice Hall, 457 pages without appendices, (a bit week on solid state physics but otherwise OK, mathematical level is moderate, but the useful Wentzel Kramers and Brillouin (WKB) approximation for very gradual variations of the time independent potential and short wavelength standing waves is mentioned)

Modern Physics by J. Bernstein, P. M. Fishbane and S. Gasiorowicz, Prentice Hall, 2000, 602 pages, (somewhat tough going at places; as it is a relatively new text, sometimes explanations are not provided in sufficient detail for the mathematically less gifted student)

Modern Physics from α to Z0 by James W. Rohlf, John Wiley and Sons. Inc., 1994, 569 pages plus some 60 pages appendix, good book for very dedicated students, but somewhat unconventional sequence in presenting the material, i.e. it starts with a survey of particles and forces and within some 20 pages arrives at Feynman diagrams and the fine structure constant, which other text may cover at page 200 or so in case of the fine structure constant (or not at all in case of Feynman diagrams). The Lorentz transformations, on the other hand, only come up after some 100 pages. Since the book was published 1994, the top quark is missing, but otherwise if is very good. It is almost like a reference book rather than an undergraduate textbook, although there are lots and lots of worked out problems! Perhaps there were no further editions because not many instructors recommended this text for their classes for students with mixed backgrounds?

Concepts of Modern Physics, Unraveling Old and New Mysteries by George Duffey, 2010, Solomon Press, 330 pages, (only two pages of appendices and other shortcomings when compared to the dedicated undergraduate texts above). Instructors may like it as it is very concise, almost like a collection of the most important formulae and concepts.

I particularly like his concluding statement: “In a fundamental sense, all extant physical theories are false. Each is a good representation of nature only over a limited range of the independent variables.” Many undergraduate students and the general public may have some difficulty appreciating this simple fact.

a complementary book for worked problems: Schaum’s Outlines Modern Physics, by R. Gautreau and W. Savin, 2nd edition, Mc Graw-Hill, 1999, does not substitute for a genuine textbook

Quantum Physics for Scientist and Technologies, by Paul Sanghera, Wiley 2011, is also pretty good for complementary reading. As the title implies, there are no dedicated chapters on special and/or general relativity, but the book covers pretty much the same material as the “dedicated modern physics textbooks” mentioned above. Many of the important formulae are present (including the time-independent Schroedinger equation in spherical coordinates), but there is much more text explaining the concepts in plain English. Some discussion, e.g. that of the Zeeman effect, are incomplete (and result, e.g. in equation 8.13 being wrong). Because of its well written text and there are many section “living in the quantum world” on modern applications of quantum mechanics (that the classical modern physics text do not have), this book may be helpful to many undergraduates.

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a very nice book that builds a bridge between introduction to modern physics and real quantum mechanics is A. I. M. Rae, Quantum Mechanics, CRC Press, Boca Raton, Ann Arbor, London, Tokyo, 5th edition, 2007

see how he starts:

 

1. For every dynamical system there exist a wavefunction that is a continuous, square-integrable, single-valued function of the parameters of the system and of time, and from which all possible predictions about the physical properties of the system can be obtained.

 

2. Every dynamical variable may be represented by a hermitian operator whose eigenvalues represent the possible results of carrying out a measurement of the value of the dynamical variable. Immediately after such a measurement, the wavefunction of the system is identical to the eigenfunction corresponding to the eigenvalue obtained as a result of the measurement.

 

Actually four basic postulates of quantum mechanics (two of them are given above) are all that is really fundamental, the rest can be derived from these postulates, it is that cool!

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free *.pdf files on: general introduction to quantum mechanics, one-dimensional Schroedinger equation, three-dimensional Schroedinger equation, and further details on the book where these chapters are from (it is European university course stile, not expensive, no examples within the text, but pretty much to the point, if you like doing maths, this book very well complements the course and your other textbook)

 

I use all of the text books above to prepare my lectures, probably I use Beiser, Thornton & Rex, Serway et al., Krane, Taylor et al., the most (possibly in this order). You may work with anyone of these textbooks or with previous editions of these books, the homework problems will be given on the webpage and may be from either of these books. So I am not forcing you to purchase any a textbook, it is up to you, you are responsible adults. If you are really short of money, I may lend you a few current and older versions of these texts as long as supplies last. Unfortunately, supplies are depleted a bit since some students never returned what they had borrowed from me.

further reading and real fun to read at bedtime and very useful to explain modern physics to your

grandparents and kids:

 

Sheldon L. Glashow, From Alchemy to Quarks, Brooks/Cole, 1994, this is the text the Nobel prize winning author uses to teach physics to non-science majors, so it is essentially non-mathematical, but concepts are very clearly expressed verbally. My course gained a lot from this book as Glashow writes: There is but one culture of which science is an essential part. Membership in the community of educated men and women demands competence in science and awareness of its history.

 

Two very good popular science books that include discussions of EPR, inequalities by Bell, and the experimental verification that Copenhagen interpretation quantum mechanics is fine,

 

L. M. Lederman, C. T. Hill, Quantum Physics for Poets, Prometheus, 2011, note that L. M. Lederman possesses a Nobel Prize in physics

 

B. Rosenblum, F. Kuttner, Quantum Enigma, Physics Encounters Consciousness, Oxford University Press, 2006,

 

 

Also useful:

 

Physics for Scientists and Engineers with Modern Physics, Serway/Jewett, 6th edition, Volume 5, ISBN 0-534-40854-0 (there is now a 7th edition.)

paperback (it is volume 5 of the 5 volume set which has a different ISBN, covering only chapters 39-46, so don not purchase the whole set if you already possess a good undergraduate text on classical physics, Thomson Brooks/Cole (everything is a bit simpler, just enough material for a one quarter course, if I have to give Phys 313 Ideas in Modern Physics, http://www.physics.pdx.edu/course_info.htm#300 - that will be the text I am going to use, I served as a chapter reviewer for this text)

 

S. M. Blinder, Introduction to Quantum mechanics in Chemistry, Materials Science, and Biology, Elsevier 2004, only about $40 but pretty good if you are aiming for a career in these professions, not so much use for a prospective physicist

 

Wolfgang Rindler, Relativity, Special, General and Cosmological, 2nd edition, Oxford University Press, 2006

 

Physics for Poets, 5th edition, McGraw Hill, 2003, by Robert H. March

 

A free book chapter from a first year introductory modern physics text

 

In Search of Schroedinger’s Cat, Quantum Physics and Reality, John Gribbin, paperback, parallel worlds and all the rest of that, pretty nice if you don not like the COPENHAGEN interpretation of quantum mechanics for aesthetical or philosophical reasons

 

and Physics and Philosophy, the revolution in modern science by W. Heisenberg, Harper Torchbooks, 1962, a bit heavier although without any mathematics as he gets very philosophical

 

go also to http://www.whfreeman.com/modphysics/INDEX.HTM#top for lots of interesting modern physics stuff by Tippler and Llewellyn, to be downloaded as *.pdf

 

a free pdf with some simplified modern physics

 

a free introductory pdf chapter (some 70 pages with illustrations) on the relationship between classical physics and modern physics

 

a free higher level mp4 file that explains the double slit experiment mathematically over entanglement in Hilbert Space

 

an interesting paper, partly philosophical/partly quantum physically, from a former Visiting Professor at Portland State and author of widely read books on advanced quantum mechanics: A new interpretation on Quantum Mechanics. I am in no position to judge if all the claims in this paper are correct, but have a go yourself, your opinion is as valuable as mine.

 

Heisenberg himself orally about the uncertainty principle: http://www.aip.org/history/heisenberg/uncertain.au, http://www.aip.org/history/heisenberg/voice1.htm,

 

Some students - frequently those with strong religious beliefs - do not like the probabilistic interpretation of quantum mechanics according to the so called Copenhagen School (Bohr, Born, Heisenberg). Well there might be an alternative in the form of a nonlocal hidden variables theory by David Bohm and here is a link to an article published in Scientific America that may serve as a starting point for exploring that theory. Sure this article is a bit polemic as its author wants to promote his book, but it concedes that all predictions of standard quantum mechanics are borne out in experiments. Interestingly, that version of quantum mechanics makes exactly the same predictions as standard Copenhagen quantum mechanics and can, thus, also claim to be in agreement with all of the experimental evidence! Sure the consequence of being indistinguishable as far as experiments go is also a loose end, i.e. some ad hock invented but not really physically observed quantum potential that represents the influence of the rest of the universe and about which the physicist is partially ignorant so that he or she can only make probabilistic prediction on the basis of quantum mechanics.

So in effect that version of quantum mechanics proofs nothing beyond the point that one actually does not need to stick to the Copenhagen Interpretation (while using the mathematics of Hilbert Space) in order to make progress in quantum mechanics. In fact the mathematics are completely independent of any interpretation.

 

As already mentioned the theory by David Bohm is a hidden variable theory, but is very special in the respect that it is non local. His new idea of the quantum potential makes in some sense up for the difference between quantum mechanics and classical mechanics. This concept has, however, been criticized as being closer to Aristotle than to Newton. The experimental tests of Bell’s inequality by Aspect, Grangier, and Roger show convincingly that standard quantum mechanics is complete (besides being correct) and that local hidden variable theories give false predictions.

 

According to current wisdom, this experimental fact means one of the following, (i) there is no local physical reality to the properties of quantum mechanical entities before they are observed, everything is at least in principle somehow connected, and (ii) there is no counterfactual definiteness (loosely speaking is does not make sense to speak with meaning of the results of measurements that have not been performed.)

 

The second condition kind of invalidates all theories that are based on local physical reality, e.g. the general theory of relativity by Albert Einstein, as points in space-time are then no longer separable. From the first condition, one can conclude that since the properties are not real before they are measured and the object being kind of the sum of its property, the object may not be real either. The question arises then how can large objects which are ensembles of small objects be real.

 

The Copenhagen interpretation does not contain counterfactual definiteness, so that is probably easiest to give up. Non-local reality might be quite acceptable as well.

 

A way out could be to follow Stephen Hawking: I do not demand that a theory corresponds to reality because I don’t know what it is. Reality is not a quality you can test with litmus paper. All I’m concerned with is that the theory should predict the results of measurements. Quantum theory does this very successfully and when I hear of Schroedinger’s cat, I reach for my gun. A position such at this is known as philosophical positivism. There is also the Decoherence/Consistent Histories approach, sometimes called Copenhagen done right which does not see a problem at all.

 

 

Richard P. Feynman in chapter 1 of QED, the strange theory of light and matter gives good advice for the novice student of modern physics

 

I would like to talk a little bit about understanding. When we have a lecture, there are many reasons why you might not understand the speaker. One is, his language is bad, he doesn’t say what he means to say, or he says it upside down, and it’s hard to understand. That’s a rather trivial matter, and I will try my best to avoid too much of my New York accent.

 

Another possibility, especially if the lecturer is a physicist, is that he uses ordinary words in a funny way. Physicist often use ordinary words as work or action or energy or even, as you shall see, light for some technical purpose. Thus, when I talk about work in physics, I don not mean the same thing as when I talk about work on the street. During this lecture I might use one of those words without noticing that it is being used in this unusual way. I will try my best to catch myself, that’s my job, but it is an error that is easy to make.

 

The next reason that you might think you do not understand what I am telling you is, while I am describing to you how Nature works, you will not understand why Nature works that way. But you see, nobody understands that. I can not explain why Nature behaves in this peculiar way.

 

Finally, there is this possibility: after I tell you something, you just can not believe it. You can not accept it. You do not like it. A little screen comes down and you do not listen anymore, I am going to describe to you how Nature is, and if you do not like it, that is going to get in the way of your understanding it. It is a problem that physicists have learned to deal with: They have learned to realize that whether they like a theory of they don not like a theory is not the essential question. Rather, it is whether or not the theory gives predictions that agree with experiment. It is not a question of whether a theory is philosophical delightful, or easy to understand, or perfectly reasonable form the point of view of common sense. The theory of quantum electrodynamics describes nature as absurd form the point of view of common sense. And it agrees fully with experiment.

 

 

David Mermin: It is because nothing required us to apprehend atomic structure during our evolutionary development that we are incapable of understanding what it is that quantum mechanics describes. Quantum mechanics is weird to us because we can make inferences about the atomic world only indirectly through the correlations we can arrange for it (called measurements) which those parts of the world (called classical) that evolution has outfitted us directly to apprehend.

 

 

Something nice from Physics for Poets, mentioned above: To be human is to wonder. The baby is displayed behind glass, well-scrubbed, and one need not know about the delivery room (it is soundproofed). Thus we are spared the agony of wonder, which is not unlike love and makes as little (or as much) sense as love.

 

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an after thought

 

If you did not get an A or B this time, do not worry too much, I did not get straight As all my life and neither did Werner Heisenberg. If you want to know how badly he screwed up his final PhD exam, click here, nevertheless he was professor at age 25 and one of the greatest physicists ever.