A Person Could Learn Quantum Mechanics With This Book

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  • Опубликовано: 10 дек 2024
  • In this video we look at a book titled Elementary Quantum Mechanics. Do you have any advice for people learning Quantum Mechanics? If so, please leave a comment below.
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Комментарии • 67

  • @m1lkb0n3z
    @m1lkb0n3z 12 дней назад +21

    I would recommend that anyone setting out to study QM have a solid background in linear algebra, as a lot of those concepts such as "orthonormal basis", "dual space", "eigenvectors", and matrix operations play an important role. Differential equations and vector analysis (nabla operations) are important as well. Some concepts you just have to "live with" for a time before it becomes clear how they fall into place. And Max Jammer's _The Philosophy of Quantum Mechanics_ is useful for putting the study in a broader context.
    For QM textbooks, my favorite was Schiff, though he's not elementary. It has a nice series of graphs showing how tunneling works for finite potentials. Mertzbacher has a full proof of the Heisenberg Uncertainty Principle in an appendix, and it's general enough that you can realize an uncertainty principle exists for any two QM operators that do not commute. Anderson's book is useful for its historical development: before there was QM as we know it today, there was wave mechanics, and then matrix mechanics. I seem to recall that there's an QM text in the Resnick and Halliday series, which is likely to be introductory, but I've never read it.
    After obtaining a solid foundation in QM, I'd recommend developing an understanding of the role of symmetry, which means group theory (and group representation theory). I've used Herstein's book for this, but a very good introductory text is Joel Goldstein's _Abstract Algebra_ . Wigner's book on the subject is oriented toward applications in physics, but does not cover topics of interest to mathematicians such as the connection to number theory through the Sylow theorems.

    • @TheMathSorcerer
      @TheMathSorcerer  12 дней назад +4

      Thank you!!!!

    • @m1lkb0n3z
      @m1lkb0n3z 12 дней назад +2

      @@TheMathSorcerer And I thank you for the video!

    • @markborz7000
      @markborz7000 12 дней назад +3

      For symmetry and representation theory and understanding of Spin and Spinors in QM and Relativistic theory, there is a very nice book from the 50-ies: Gelʹfand, Minlos, Shapiro - Representations of the rotation and Lorentz groups and their Applications

    • @sirinkat2623
      @sirinkat2623 11 дней назад +1

      Agreed. I was totally at lost when encountered QM at first. Only after grabbing the idea of LA that I gained more understanding. Texts by Townsend and Sakurai took this approach to explain quantum mechanics.
      It also helped lot that my QM class used Cohen's.

    • @EdwardsIntegrals
      @EdwardsIntegrals 8 дней назад

      Do you have any recommendations for any linear algebra books?

  • @scawa1952
    @scawa1952 7 дней назад +2

    Found this book on Amazon Kindle as a Dover book. Thanks for this introduction to the book. I will be covering this book when I cover Hamiltonian Mechanics (a big Prerequisite). I had a brief introduction to QM years ago, but it was rather simplistic. I’m 73 now and retired. I cover math and physics books for fun (‘cause I have the time). Looking forward to this later.

  • @douglasstrother6584
    @douglasstrother6584 12 дней назад +24

    That "card" is a computer punch card, a fun piece of history.

    • @JackWMatrix
      @JackWMatrix 10 дней назад +2

      At my first job I needed to use those. They are Hollerinth punch cards. Used to write and store programs.
      They were to IBM what printer cartridges are to HP.
      $$$

    • @georgehaeh4856
      @georgehaeh4856 5 дней назад +1

      In the 60s, punch cards were how you got data into mainframes. Programs were written on punch cards, and of course input data for applications. Before mainframes were unit record machines controlled by jumpers on a plug board if I remember the term correctly.

  • @douglasstrother6584
    @douglasstrother6584 12 дней назад +12

    Saxon is a good text.
    "Mathematics for Quantum Mechanics: An Introductory Survey of Operators, Eigenvalues and Linear Vector Spaces" by J.D. Jackson (Yes, *that* Jackson.) is a good read (

  • @keithwald5349
    @keithwald5349 12 часов назад

    Oh hey - this was my textbook as an undergrad at UCLA. It's now available as a cheap Dover reprint. I also recommend, for a very different viewpoint, but very accessible, Marvin Chester's "A Primer of Quantum Mechanics," also availalbe from Dover (are you noticing a pattern?). Finally - for yet another nice, clear introductory book that has all kinds of fun applications, I really recommend "Introduction to the Quantum Theory" by Park (yup, Dover).
    One of the fun parts about studying this subject, is the day we wake up and have the realizations:
    1. Hey, Parseval's theorem is just telling us the obvious fact that the length (squared) of any vector (in function space) is independent of the basis in which we represent it!
    2. Linear algebra and Fourier analysis (be those eigenfuctions Hermite, Laguerre, Bessel, ... whatever) are really the same subject! The former uses "regular" vectors and dot products, while the latter uses orthorgonal function systems (like sin, cos) as their basis vectors, and integrals as "inner" products!

  • @douglasstrother6584
    @douglasstrother6584 12 дней назад +12

    The Quantum Mechanics text by Messiah is another good one.

  • @giandimayuga7081
    @giandimayuga7081 12 дней назад +2

    One of the things I've noticed about Quantum Mechanics is that it is so mathematical in nature for a Physics concept that sometimes when you're solving a problem you'll feel like you're solving a pure mathematical problem and almost forget that it's a Physics problem.

  • @Rheinhard
    @Rheinhard 12 дней назад +5

    This was my undergraduate quantum textbook at University of Pennsylvania in the late 80s!

  • @RobertDuvall-f9s
    @RobertDuvall-f9s 12 дней назад +7

    I was a junior high student in 1968

  • @edwardsmith-rowland2852
    @edwardsmith-rowland2852 12 дней назад +5

    I was 5 in 1968. We checked out Saxon for grad school quantum for help on homework. (We used Sakurai for the text).

  • @dj_baby_yoda
    @dj_baby_yoda 12 дней назад

    This is one of my favorite books!!! So happy you're showing it!

  • @markborz7000
    @markborz7000 12 дней назад +14

    Nice book, there are a lot of good textbooks on QM.
    In fact, I'm not aware of any bad one.
    But if you really want to learn QM from beginner to professional level, there is just one and only one left over: Cohen-Tannoudji et al (3 volumes, >2000 pages).

    • @OrdenJust
      @OrdenJust 12 дней назад +3

      I saw Cohen-Tannoudji's book when it first came out. Saw it while visiting Cambridge, Mass., in the Harvard Coop. I remember thinking that I wished I had that book when I was studying QM. For first semester, we used David Park, second semester, Merzbacher, and third semester, Dicke and Wittke. But it seemed to me to understand certain topics, one had to see how different authors treated it, to find the best exposition. I forget what I liked about Saxon, but it might have been his explanation of perturbation theory. Other authors had their strong suits....for example, Wieder, I think it was, did a good job on raising and lowering operators. But at the time, I thought the best intro for beginners was Schiff's book on Quantum Mechanics. And if you asked professors what their "Bible" on QM was, as often as not they would say Dirac's Quantum Mechanics.

  • @markweitzman
    @markweitzman 12 дней назад +6

    I have a long series of videos and many playlists on physics textbooks. The second video in the playlist covers quantum mechanics. Links to the playlist on QM and other physics textbooks as well as my RUclips channel are below:
    Quantum Mechanics textbooks: ruclips.net/video/OhPRCXdtuoI/видео.html.
    Playlist link for physics textbook recommendations: ruclips.net/p/PLrYjnFgP8e0nZFBJlwSMSBKDkT8heCbZf
    Theoretical Physics with Mark Weitzman: www.youtube.com/@markweitzman/featured

  • @cannong1728
    @cannong1728 10 дней назад

    Have it...part of my math and physics library! I was six years old in '68... long before I knew of the existence of Prof. Saxon or what the tarnation QM was for that matter!

  • @larrybloxham
    @larrybloxham 8 дней назад

    I lwas introduced to QM by Tipler's book in Physics4/ The firsy full course was using Saxon and it was a demanding and enlighting experience. Thanks for the memories.

  • @kyutlily3041
    @kyutlily3041 12 дней назад +2

    'OOO WHATS THIS!🧐?!' 7:01 😭😭😭

  • @hm5142
    @hm5142 12 дней назад

    Messiah is a two volume set of books on QM in that were popular around 1970. i used it in grad school. Pretty good book and comprehensive for the time.

  • @dean532
    @dean532 10 дней назад +1

    7:55 Still Cursive but yeah students hate that. And that is the man solving the Schrödinger Equation for a Hydrogen atom

  • @giandimayuga7081
    @giandimayuga7081 12 дней назад

    For example the Schrödinger equation is used often just to prove that various wave functions are solutions to the Schrödinger equation. Conceptually the many Quantum Mechanics problems are quite simple and pretty straightforward.

  • @jimsimpson1006
    @jimsimpson1006 12 дней назад

    I was a 14 year old in 1968. Like doing math (or as we say in the UK, maths) much more now than I did as a schoolboy!

  • @giandimayuga7081
    @giandimayuga7081 12 дней назад

    Understanding how the geometric orientation of the given system described within a specific problem is usually required to be able to derive the equation needed to solve for the variable of interest.

  • @giandimayuga7081
    @giandimayuga7081 12 дней назад

    Most of the time you'll get a problem where if you need to use Gauss's law or Coulombs law, the formula would expand into something much bigger, because you would end up using trigonometric, and Calculus techniques, to derive the actual equation that ends up as a modified, expanded version of Gauss's or Coulombs law.

  • @giandimayuga7081
    @giandimayuga7081 12 дней назад

    It's like if they ask a question and all it sometimes takes is in order to solve for this, just use this equation, or this formula to find out what this is. Its like here's a Fourier Transform/Fourier Series formula, here's a Linear Algebra technique, if you execute it, you'll find out the solution to this problem. Trying to understand precisely what the solution ultimately means, or what the picture of the system is painting from a strictly purely physical sense can be pretty complicated.

  • @sohybali2696
    @sohybali2696 12 дней назад +1

    Messiah is an old textbook many consider it s the bible of quantum mechanics. However, unlike Jackson electrodynamics there is no consensus about which textbook is the bible of QM.

  • @giandimayuga7081
    @giandimayuga7081 12 дней назад

    Electrodynamics on the other hand, is immediately more complicated from a purely physical point of view. In a sense that you need to understand how the math and the physics are intertwined together.

  • @Lukedamow
    @Lukedamow 12 дней назад +4

    Where does bro find these books? Awesome

    • @TheMathSorcerer
      @TheMathSorcerer  12 дней назад +2

      I actually don't know where I found this one. It's been a while:)

    • @lidiaadams9570
      @lidiaadams9570 12 дней назад +2

      If you have a goodwill outlet in your area sometimes you can find whole collections that belonged to teachers and books like these. Maybe give it a shot if you have one around

    • @Lukedamow
      @Lukedamow 12 дней назад +1

      @@TheMathSorcererI love your videos. Makes me enjoy Maths more. Keep it up :)

    • @cannong1728
      @cannong1728 10 дней назад

      Ebay....where I found my copy of Saxon's QM and many other math and physics textbooks!

  • @paraseth
    @paraseth 12 дней назад

    Messiah is the name of the author (albert messiah) who wrote a book on quantum mechanics. It’s a thick book that covers everything in introductory quantum mechanics

  • @Wolf-if1bt
    @Wolf-if1bt 11 дней назад

    Super intéressant.
    Mais comment expliquer la force magnétique d'un aimant immobile ?

  • @davidrandell2224
    @davidrandell2224 6 дней назад

    QM classicalized in 2010. Forgotten Physics website uncovers the hidden variables and constants and the bad math of Wien, Schrodinger, Heisenberg, Einstein, Debroglie, Planck, Bohr and this Saxon, etc.

  • @dmolson512
    @dmolson512 12 дней назад

    That was my undergrad quantum mechanics book!

  • @AethericTheorem
    @AethericTheorem 12 дней назад

    Can you do a review of Eric Dollard's books? Specifically, Versor Algebra, which is not taught today in electrical engineering, but it should be. It's a symbolic language that was cherished by the genius Charles Proteus Steinmetz, and it allows someone to solve problems in differential equations, for example, easily.

  • @dimitrijestankovic6199
    @dimitrijestankovic6199 12 дней назад

    What is your best book for numerical mathematic?.For beginners

  • @Edward-zw9ld
    @Edward-zw9ld 12 дней назад +2

    This time is when we were going to the moon: in general, education was more demanding then.

    • @Edward-zw9ld
      @Edward-zw9ld 12 дней назад +2

      This is the time of the early Thomas, Calculus texts.

    • @markborz7000
      @markborz7000 12 дней назад

      ​@@Edward-zw9ld or Leithold

  • @barabbasrosebud9282
    @barabbasrosebud9282 7 дней назад

    1968 OMG! I didn't know that books even existed back then.

  • @mre_physvids
    @mre_physvids 11 дней назад

    Was Griffiths on your list?

  • @Sköldpadda-77
    @Sköldpadda-77 11 дней назад

    If this was at an elementary school level, I might learn something about quantum mechanics…maybe.

  • @fhydhu
    @fhydhu 10 дней назад

    does anyone know how to buy a book if you are from another country ?

  • @carlosfierro3302
    @carlosfierro3302 7 дней назад

    You mean nunna yall used The Feynman Lectures for QM? 😮😂

  • @whenindoubt1000
    @whenindoubt1000 10 дней назад

    I was 8. Didn't study Quantum Mechanics. That was for 4th grade.

  • @Info-God
    @Info-God 12 дней назад +2

    Why would I learn such things?

    • @Surge_Arrester
      @Surge_Arrester 12 дней назад +1

      This question must be for those who don't know what they are doing..

    • @Info-God
      @Info-God 12 дней назад

      Do you?

    • @Postmodern368
      @Postmodern368 12 дней назад

      Quantum mechanics has numerous applications:
      - **Technology**: Semiconductors, lasers, solar cells, quantum computing.
      - **Communication**: Quantum cryptography and networks for secure data transfer.
      - **Material Science**: Superconductors, nanotechnology, and advanced materials like graphene.
      - **Energy**: Fusion, fission, and insights into photosynthesis.
      - **Medicine**: MRI, drug design, and quantum biology.
      - **Metrology**: Atomic clocks and quantum sensors for precision measurements.

    • @Surge_Arrester
      @Surge_Arrester 12 дней назад

      @@Info-God I didn't ask your question.

    • @robappleby583
      @robappleby583 3 дня назад

      You’re not obliged to, and it certainly is of no interest to the vast majority of people. But if you enjoy maths and are interested in physics, then sooner or later you’ll want to learn such things.

  • @TheRealDyscyples
    @TheRealDyscyples 12 дней назад +1

    Not the first comment

  • @edwardsmith-rowland2852
    @edwardsmith-rowland2852 12 дней назад

    Messiah the author of another is another Quantum mechanics book. It is two volumes - graduate level.
    Harmonic oscillator homework! LOL.

  • @ShirahaBellaRiyo
    @ShirahaBellaRiyo 12 дней назад +1

    😮

  • @davidwilson410
    @davidwilson410 12 дней назад

    JFK is my POTUS

  • @X1348-n3n
    @X1348-n3n 5 дней назад

    cool, but love to see you own Eric Weinstein's podcast - 'The Portal' instead of just rotating books in front of webcam and making comments. Who are you MS? can you assist with other mathematicians? I hope you can get invited to other areas of the internet and contribute your knowledge other that just listing this book or that book. It feels like you are walking thru a local home depot and telling the camera what you are looking at.

  • @Kyoz
    @Kyoz 12 дней назад +3

    I already bought a few quantum mechanics books, but my physics and some of my math concepts are a little weak.
    I just ordered a fourier series book, though. Before I bought it, I came to see if you had any fourier recommendations, and it was the same book. So I bought it. 🤍