A Person Could Learn Quantum Mechanics With This Book

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The Math Sorcerer

The Math Sorcerer

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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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Пікірлер: 42
@douglasstrother6584
@douglasstrother6584 6 сағат бұрын
That "card" is a computer punch card, a fun piece of history.
@markborz7000
@markborz7000 6 сағат бұрын
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 5 сағат бұрын
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.
@douglasstrother6584
@douglasstrother6584 6 сағат бұрын
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 (
@markweitzman
@markweitzman 3 сағат бұрын
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 KZbin channel are below: Quantum Mechanics textbooks: kzbin.info/www/bejne/hZmzg3aOmdmopas. Playlist link for physics textbook recommendations: kzbin.info/aero/PLrYjnFgP8e0nZFBJlwSMSBKDkT8heCbZf Theoretical Physics with Mark Weitzman: www.youtube.com/@markweitzman/featured
@RobertDuvall-f9s
@RobertDuvall-f9s 4 сағат бұрын
I was a junior high student in 1968
@giandimayuga7081
@giandimayuga7081 2 сағат бұрын
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.
@giandimayuga7081
@giandimayuga7081 2 сағат бұрын
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.
@douglasstrother6584
@douglasstrother6584 6 сағат бұрын
The Quantum Mechanics text by Messiah is another good one.
@m1lkb0n3z
@m1lkb0n3z 5 сағат бұрын
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 4 сағат бұрын
Thank you!!!!
@m1lkb0n3z
@m1lkb0n3z 4 сағат бұрын
@@TheMathSorcerer And I thank you for the video!
@markborz7000
@markborz7000 3 сағат бұрын
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
@dj_baby_yoda
@dj_baby_yoda 6 сағат бұрын
This is one of my favorite books!!! So happy you're showing it!
@giandimayuga7081
@giandimayuga7081 Сағат бұрын
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.
@hm5142
@hm5142 40 минут бұрын
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.
@edwardsmith-rowland2852
@edwardsmith-rowland2852 Сағат бұрын
I was 5 in 1968. We checked out Saxon for grad school quantum for help on homework. (We used Sakurai for the text).
@giandimayuga7081
@giandimayuga7081 Сағат бұрын
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.
@jimsimpson1006
@jimsimpson1006 Сағат бұрын
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 2 сағат бұрын
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.
@giandimayuga7081
@giandimayuga7081 Сағат бұрын
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.
@dmolson512
@dmolson512 2 сағат бұрын
That was my undergrad quantum mechanics book!
@sohybali2696
@sohybali2696 6 сағат бұрын
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.
@kyutlily3041
@kyutlily3041 3 сағат бұрын
'OOO WHATS THIS!🧐?!' 7:01 😭😭😭
@AethericTheorem
@AethericTheorem 4 сағат бұрын
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.
@Lukedamow
@Lukedamow 6 сағат бұрын
Where does bro find these books? Awesome
@TheMathSorcerer
@TheMathSorcerer 6 сағат бұрын
I actually don't know where I found this one. It's been a while:)
@lidiaadams9570
@lidiaadams9570 6 сағат бұрын
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 6 сағат бұрын
@@TheMathSorcererI love your videos. Makes me enjoy Maths more. Keep it up :)
@Edward-zw9ld
@Edward-zw9ld 6 сағат бұрын
This time is when we were going to the moon: in general, education was more demanding then.
@Edward-zw9ld
@Edward-zw9ld 6 сағат бұрын
This is the time of the early Thomas, Calculus texts.
@markborz7000
@markborz7000 5 сағат бұрын
​@@Edward-zw9ld or Leithold
@dimitrijestankovic6199
@dimitrijestankovic6199 5 сағат бұрын
What is your best book for numerical mathematic?.For beginners
@edwardsmith-rowland2852
@edwardsmith-rowland2852 Сағат бұрын
Messiah the author of another is another Quantum mechanics book. It is two volumes - graduate level. Harmonic oscillator homework! LOL.
@ShirahaBellaRiyo
@ShirahaBellaRiyo 6 сағат бұрын
😮
@Info-God
@Info-God 6 сағат бұрын
Why would I learn such things?
@Surge_Arrester
@Surge_Arrester 6 сағат бұрын
This question must be for those who don't know what they are doing..
@Info-God
@Info-God 6 сағат бұрын
Do you?
@Postmodern368
@Postmodern368 5 сағат бұрын
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.
@TheRealDyscyples
@TheRealDyscyples 6 сағат бұрын
Not the first comment
@davidwilson410
@davidwilson410 5 сағат бұрын
JFK is my POTUS
@Kyoz
@Kyoz 6 сағат бұрын
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. 🤍
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