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Books on Quantum Mechanics?

manjunaths asks: "I would like to ask the physicists here to recommend some books on Quantum Mechanics. For those of us who have a decent background in calculus and have done some advanced physics (field theory, network theory etc.,). The books must have math as well as theoretical explanation. If it has examples which explain/relate to real world physics that would be really nice."

24 of 79 comments (clear)

  1. Sounds like Feynman's texbooks by Muhammar · · Score: 5, Informative

    Try Feynman Lectures, Feynman "Six Easy Pieces" and "Six Not-So-Easy Pieces". Most of the physics has not aged from the time the books was written, - QED, relativistic gravitation and the Standard model were almost complete by then. And he had unusual gift for readability and ingenuous practical examples. [I think he won some teaching awards for his books, also.]

    That is what I heard - but try to ask some physicist next time :)

    Here is a nifty interview with Feynman (1979):
    http://www.omnimag.com/archives/interview s/feynman .html

    --
    I doubt that we will ever figure out - and I suspect that even if we did figure out we couldn't do much about it
    1. Re:Sounds like Feynman's texbooks by epsilon720 · · Score: 3, Insightful

      Six Easy/Not-So-Easy Pieces actually have very little quantum physics in them, but they do have a good deal on simple and relativistic mechanics, as well as symmetry and space-time. They are definitely both good reads, but probably not what you're looking for.

    2. Re:Sounds like Feynman's texbooks by Muhammar · · Score: 2, Informative

      Yeah, you are right. And in "Feynman Lectures", quantum physics is dealt with mostly in volume 3 - some people loved it completely and said it was the best part of the series and some complained that it was not as math-laden as some other textbooks (Cohen-Tannoudji).

      [And unlike with the other textbooks, you can hear the guy on audiotapes from live lectures too, with suplemmental sylabus.]

      --
      I doubt that we will ever figure out - and I suspect that even if we did figure out we couldn't do much about it
  2. Griffiths by poincaraux · · Score: 4, Informative

    There is absolutely no question. David Griffith's Introduction to Quantum Mechanics is by far the best intro book out there. His prose is amazing, his explainations are always interesting and illuminating, and (pehaps best of all), he always gets the math right.

    If you haven't poked around in a lot of intro (or "advanced"!) quantum books, you may not realize how important those things (especially the math bit) are. But it wouldn't matter if hadn't read any other books. If you gave them all a fair shot, you'd choose Griffiths because his explanations are just so much better than everyone else's.

    Trust me. Griffiths.

    Once you've read it, you may be ready for something more advanced (maybe Sakurai, or even the poorly written but still amazingly complete Cohen and Tannoudji, or even Feynman's QED), but nothing compares to Griffiths for a good introduction to Quantum.

    1. Re:Griffiths by jgardn · · Score: 4, Informative

      I second that. The book is very well written -- I would argue that it is probably the best written book I had during the entire four years I was there.

      However, before you dive into Griffith's, you'll really have to brush up on Calculus and Differential Equations, as well as a variety of mathematics that you probably won't see unless you are going to grad school in math. The best book for this is "Mathematical Methods in the Physical Sciences" by Mary Boas.

      This book was used for the "weed-out" class in the sophomore year at the University of Washington Physics department. The reason was that if you couldn't keep up with the math, and if you couldn't make sense of it all, than you really couldn't cut it as a physicist. It was the class where 100 people show up the first quarter, and 15 show up the next (because the other 85 lost interest or failed). Those 15 graduated with reasonably good grades.

      If you complete Boas's book, and you can understand the math behind Griffith's book, then you are well on to your way to grad school in physics, if you desire it. Just brush up in a few other areas (EM, thermo, GR, etc...), and you might be ready for the GRE.

      Anyway, it'll be interesting having another "real" physicist around here who actually understands what the Uncertainty Principle really means and where it comes from and its effect on the universe, rather than these posers who have no idea that a fourier transform applies to QM at all.

      --
      The radical sect of Islam would either see you dead or "reverted" to Islam.
    2. Re:Griffiths by Anonymous Coward · · Score: 2, Interesting

      There is absolutely no question. David Griffith's Introduction to Quantum Mechanics is by far the best intro book out there.

      hmmm...i don't think i'd go quite that far. I just finished a two semester intro to quantum mechanics. Most of my classmates used Griffiths, but I chose Shankar's "Principles of Quantum Mechanics." Although Shankar places more demands on the reader initially(by way of mathematical formalism), it definitely pays off in the long run! Near the end of the course, when we delved into particle phyics and the standard model, I felt far more prepared then my classmates.

      On a side note, his introduction to functional analysis and Dirac delta functions was awesome. First time I understood it.

    3. Re:Griffiths by mph · · Score: 4, Funny
      From my personal fortunes file:
      Gauss's law is always true, but it is not always useful.

      -- David J. Griffiths, "Introduction to Electrodynamics"
      %
      [A] potato would explode violently if the cancellation [of electrical
      charge] were imperfect by as little as one part in 10^10.

      -- David J. Griffiths, "Introduction to Electrodynamics"
      %
      Under the integral sign, then, you can peel a derivative off one
      factor in a product and slap it onto the other one--it'll cost you a
      minus sign, and you'll pick up a boundary term.

      -- David J. Griffiths, "Introduction to Quantum
      Mechanics"
      %
      [C]anning jars evidently do not obey Laplace's equation.

      -- David J. Griffiths, "Introduction to Electrodynamics"
      %
      I would be delinquent if I failed to mention the archaic nomenclature
      for atomic states, because all chemists and most physicists use it
      (and the people who make up the Graduate Record Exam *love* this kind
      of thing). For reasons known best to nineteenth-century
      spectroscopists, l=0 is called "s" (for "sharp"), l=1 is "p"
      ("principal"), l=2 is "d" (for "diffuse"), and l=3 is "f"
      ("fundamental"); after that I guess they ran out of imagination,
      because the list just continues alphabetically.

      -- David J. Griffiths, "Introduction to Quantum Mechanics"
      %
      Robert Hooke (1635-1703). The equivalent of this force law was
      originally announced by Hooke in 1676 in the form of a Latin
      cryptogram: CEIIINOSSSTTUV. Hooke later provided a translation: ut
      tensio sic vis [the stretch is proportional to the force].

      -- Marion & Thornton, "Classical Dynamics of
      Particles and Systems"
      %
      (That last one is a slightly off-topic bonus fortune, demonstrating how the nature of scientific publication has changed over the past few centuries.)
  3. QM, sort of? by ThorGod · · Score: 3, Informative

    Check out here. That's a GPL'ed book a professor at my school (go NM Tech!) has written as an interesting freshman year physics book. It covers some basic QM, amonsgt the other things you usually get freshman year in physics.

    In earnest, that book is a work in progress and it's really important to do the problems to get the full meaning from the text.

    Hope that helps :)

    --
    PS: I don't reply to ACs.
    1. Re:QM, sort of? by bcrowell · · Score: 2, Informative

      Yeah, I second this suggestion. Raymond's book is really quite good. You can find other free books on the subject, including my own, via The Assayer.

  4. My Favorites by jIyajbe · · Score: 2, Informative

    For undergrad level: "Introduction to Quantum Mechanics" by David J. Griffiths. Griffiths is (IMHO) not only an excellent physics author, he is that rarest of textbook authors, one who remembers that a physics book is a BOOK, and thus should be enjoyable to read, as well as get the physics and math right. Any textbook that is boring to read is a failure as a book. Get ahold of his textbook on Electricity and Magnetism; how many physics textbooks make you burst into laughter? "Physics of Atoms and Molecules" by B.H. Bransden and C.J. Joachain Also quite readable, with lots of experimental stuff related to, well, atoms and molecules. Graduate Level: "Quantum Mechanics" by Claude Cohen-Tannoudji, Bernard Diu, and Franck Laloe. Somewhat turgid, but complete, thorough, and accessible. Highly theoretical. Practical examples tend to show up more in volume 2. (THICK volumes, too!) HTH.

    --
    "Don't blame the log for the fire." --Andrew Ratshin
  5. A couple of classics by balamw · · Score: 5, Informative
    I'm a Physics Ph.D. and I found the following most useful in grad school while studying for the quals.
    • Cohen-Tannoudji: very comprehensive, but perhaps overwhelming due to its heft/cost. Heavy into Dirac (bra-ket) notation.
    • Landau: requires the most calculus, lots left as "an exercise to the reader"
    • Sakurai: Probably the best place to start if you want an in depth yet introductory course.

    But it really depends on YOU, I for one could only learn scattering from Landau, but found the book less than perfect for many other topics. Others in my class had quite the opposite reaction. It depends on what "clicks" for you, and how deep you want to go into what topics.

    Balam

  6. The best by Henry+V+.009 · · Score: 3, Informative

    Quantum Theory This is Bohm's book. This is simply the best QM book ever written. You'll need Fourier analysis. If you are really interested in learning QM, that requirement will give you more confidence in this book, not less.

    I'm sure you've heard of the EPR (sometimes called EPR-Bohm) experiments. The last chapters (and best chapters) of the book are where Bohm lays out his idea for an experiment to actually test EPR -- which is more or less the method used today. (written around 1952, I believe. The experiments weren't conducted until the 1980's.)

    Although Bohm's book is one of the best defenses of orthodox quantum mechanics, Bohm went on to propose a non-local, hidden variable version of QM several years after writing the textbook. This theory turned out to have been mathematically identical to de Broglie's pilot wave formulation, which he had thrown out because he thought that non-local EPR effects were obviously impossible. Here is a page with introductions: Intros. Learn the orthodox theory first.

  7. No math at all by fm6 · · Score: 4, Funny

    This one. (Ducks)

  8. Heisenberg ruined it! by Scaba · · Score: 3, Funny

    Don't you know that because of Heisenberg's Uncertainty Principle, the more you read about quantum physics, the less you can actually know about it? Stupid Heisenberg...

  9. Here's a few I used during my degree by KDan · · Score: 4, Informative

    And which are absolutely excellent to give you a very solid grounding in quantum mechanics and quantum physics.

    Mandl's Quantum Mechanics in the Manchester Physics Series
    Gasiorowicz's Quantum Physics is absolutely excellent. It goes from simple stuff to pretty complicated stuff and tends to cover things in a thorough, 'no-fudge' way so that you have a solid perspective of how it should be done
    Eisberg and Resnick's "Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles" is good for bringing it all together with atomic physics, nuclear physics and particle physics
    Bransden and Joachain's "Quantum Mechanics" Absolutely excellent. Goes into a LOT of details on everything. If there's anything you don't understand, you're likely to find it here in an understandable form (where other books just mention it in passing, this one will actually spell it out in full, which is well nice when you're in trouble with a concept)

    That should get you started pretty well. After that you might want to get Dirac's very own book to seriously absorb the dirac notation (I've found that his book was very clear even so many years after it's been written), then you'll need to get into the subject referred to during my degree as "quantum theory" - basically it is to "normal" quantum mechanics as lagrangian mechanics is to classical mechanics... just much nicer!

    Good luck,

    Daniel

    --
    Carpe Diem
  10. from a physicist by Goldsmith · · Score: 2, Informative

    real world examples!

    You must have physics confused with some other field...

    Have you read the Feynman lectures? Those are basically what you want right there. You descibed them perfectly. The compilation is some of the best QM, and is a required "free time" book for physics people.

    I've found that quantum chemistry or solid state books often give a better "real world" account of QM. Something like Atkins Molecular Quantum Mechanics or Levine's Quantum Chemstry covers chemistry and Kittel's Solid State covers the rest.

    If particle physics and field quantization is more your thing, depending on your level, you might want to start with something like Griffiths or Gasiorowicz. That's what the basic undergrad book is. If those look too simple, I highly recommend Sakurai. Start with his regular book before you look at the advanced one. You won't get through the advanced book unless you really, really know your stuff, but it covers the most mind-blowing aspects of quantum.

    (Disclaimer: I study condensed matter, so I might be biased on what is applicable to the real world)

    Oh, one other thing. If you want to learn some quantum, the first thing you have to do is learn what the action, Lagrangian and Hamiltonian are. You can try to learn it like a chemist does... in ignorance, but you will actually understand what you're doing if you know what those things are first.

  11. Eating Quantum Mechanics by moc.tfosorcimgllib · · Score: 2, Funny

    Remember, if you're already fast don't eat a Quantum Mechanic, it will only slow you down.
    Ranged weapons are a good way of taking them out

    And remember, a box with Schroedinger's cat isn't anything special, just a stupid physics joke =).

  12. I'm a physics major... by kenthorvath · · Score: 4, Informative
    ...and the books on every postdoc's shelf are:

    Eisberg, Resneck - Quantum Physics of Atoms, Molecules, a Solids, Nuclei, and Particles (047187373X) (undergraduate level, introductory)

    Sakurai - Modern Quantum Mechanics (0805375015) (graduate level, good for matrix mechanics)

    French, Taylor - Quantum Physics (?) (Introductory)

    The much touted Griffiths is good as well, but is also very terse and doesn't go very much in depth. There is almost no motivation for QM to begin with. I suggest starting with French and Taylor or Eisberg,Resneck. Then read Sakurai before you are ready to go into field theory.

  13. Two books not yet mentioned above: by rsidd · · Score: 2, Informative
    P C W Davies has a small introductory textbook that was in my undergraduate library; it was very readable and very illuminating for a beginner. It's little known, though the author is well known for his popular-science books.

    A more advanced book, which also I recommend highly, is the one by Dicke and Wittke. These were my first books on QM (I was initially selftaught as an undergraduate, though I took regular courses later).

    I also second the suggestions earlier of Sakurai and Feynman Lectures vol III. The latter is an unconventional introduction in that it starts directly with the Dirac bra-ket notation and Hilbert space, but that is really the way most physicists think about quantum mechanics after their first course, and the sooner you get used to it the better. For more advanced material, the Landau and Lifshitz book is one of the best.

    On that subject, Dirac's original book on quantum mechanics is well worth reading too, though it's not thought of as a textbook.

    1. Re:Two books not yet mentioned above: by lars-o-matic · · Score: 2, Informative

      Yes, Dirac. Besides being a great introduction to classical quantum theory, imho the extremely crisp exposition was a pure pleasure to read. (Warning: my 20-years-past recollection may be coloured by rosy-tinted undergrad glasses.)

      For bonus flavour, find a used copy with the elegant old 1930's typography.

      Amazon link here to go with parent B&N link.

      --
      je ne suis pas un fou
  14. Griffiths and Gasiorowicz by sig · · Score: 2, Informative

    I'm a physicist who specailizes in Quantum Information, so I've read just about every quantum book out there. I would have to agree that it is the all around top cookie in the arena of intro into quantum mechanics books. However, for exactly the reasons that physicists like myself like it, people just getting into quantum mechanics may not.

    Quantum Mechanics is a Taoist precept in a way, where only understanding brings understanding.

    I think that Griffiths is at its best when you already have some understanding to work with. To bootstrap your self into that place, I would recomend "Quantum Physics" by Stephen Gasiorowicz. Its more compact than Griffiths and so it may be easier to get a big picture view of what Quantum Physics is all about.

  15. I Didn't Like Saxon by jperegrino · · Score: 2
    At Harvard, around 1987, we used Elementary Quantum Mechanics, by David Saxon. It was a junior or senior-level course and it assumed you have a strong math background, which I didn't.

    I ended up using the Landau and Lifshitz book.

    I found Saxon assumed you knew a lot of math theory, especially around special functions. And too much of the "and the derivation is relatively simple" or "since f(x) is arbitrary within wide bounds, it follows that..."

  16. Re:Certainly Best on Price by Henry+V+.009 · · Score: 2, Informative

    Griffith's is good. Really, Griffith's is the book you'll need for quantum physics from a more 'modern' perspective -- being able to understand the notation of QFT and QCD. (Bohm doesn't use Dirac notation -- a strength -- though he does present both the matrix formulation and the wave formulation. Feynman's integration, of course, is also missing.) Griffith's is indespensible for a student of physics, but for understanding the whats, whys, and wherefores, I'd have to recommend Bohm.

  17. books! by foog · · Score: 2, Insightful

    As others have pointed out, the Feynman lectures are probably what you want. But hey, I gotta weigh in with my big physicist ego, and maybe you actually want to solve problems and stuff (which you won't learn from the Feynman lectures [1]), so here goes:

    I haven't seen Griffith's QM text, must've been released in the last ten years. I'm not that big a fan of his E&M text. (Purcell is clearer and more elegant.)

    Cohen-Tannoudji, which others have recommended, is an encyclopaedic treatment of non-relativistic QM, and was the de facto standard introductory graduate text for a long time. IMO it's very dryly translated from the French and tedious to learn from. If you have to really do this stuff, you'll probably end up with a copy, though. It's all in there.

    The raves about Shankar---also newer than my education---on Amazon seriously tempt me.

    My favorite introductory QM text for a long time was Liboff. Odd that no one has recommended it yet. Now I really like the underappreciated gem _Quantum Mechanics_ by Amit Goswami (despite the fact he hangs out with Deepak Chopra these days).
    Maybe Griffith is better, but based on my appreciation of his E&M text, I seriously doubt it.

    The Bohm book is a great bargain in the Dover edition, as is Pauling's book (oriented towards physical chemists) but both are very dated.

    [1] Read the introduction or the afterword, where Feynman talks about what a disaster his attempt to teach introductory physics at Caltech turned out to be. And remember that the average student at Caltech is very smart and very motivated, and he was only able to "reach" the top ~10%. The Feynman lectures are marvels in many ways, but they're terrible pedagogy.