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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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.
Thank you!!!!
@@TheMathSorcerer And I thank you for the video!
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
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.
Do you have any recommendations for any linear algebra books?
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.
That "card" is a computer punch card, a fun piece of history.
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.
$$$
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.
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 (
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!
The Quantum Mechanics text by Messiah is another good one.
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.
This was my undergraduate quantum textbook at University of Pennsylvania in the late 80s!
Wow
I was a junior high student in 1968
I was 5 in 1968. We checked out Saxon for grad school quantum for help on homework. (We used Sakurai for the text).
This is one of my favorite books!!! So happy you're showing it!
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).
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.
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
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!
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.
'OOO WHATS THIS!🧐?!' 7:01 😭😭😭
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.
7:55 Still Cursive but yeah students hate that. And that is the man solving the Schrödinger Equation for a Hydrogen atom
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.
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!
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.
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.
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.
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.
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.
Where does bro find these books? Awesome
I actually don't know where I found this one. It's been a while:)
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
@@TheMathSorcererI love your videos. Makes me enjoy Maths more. Keep it up :)
Ebay....where I found my copy of Saxon's QM and many other math and physics textbooks!
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
Super intéressant.
Mais comment expliquer la force magnétique d'un aimant immobile ?
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.
That was my undergrad quantum mechanics book!
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.
What is your best book for numerical mathematic?.For beginners
This time is when we were going to the moon: in general, education was more demanding then.
This is the time of the early Thomas, Calculus texts.
@@Edward-zw9ld or Leithold
1968 OMG! I didn't know that books even existed back then.
Was Griffiths on your list?
If this was at an elementary school level, I might learn something about quantum mechanics…maybe.
does anyone know how to buy a book if you are from another country ?
You mean nunna yall used The Feynman Lectures for QM? 😮😂
I was 8. Didn't study Quantum Mechanics. That was for 4th grade.
Why would I learn such things?
This question must be for those who don't know what they are doing..
Do you?
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.
@@Info-God I didn't ask your question.
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.
Not the first comment
Messiah the author of another is another Quantum mechanics book. It is two volumes - graduate level.
Harmonic oscillator homework! LOL.
😮
JFK is my POTUS
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.
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. 🤍