Good textbook(s) for self-studying Quantum Physics

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SUMMARY

This discussion identifies several recommended textbooks for self-studying quantum mechanics, particularly suitable for individuals with a math background. Key suggestions include "Modern Quantum Mechanics" by J. J. Sakurai, "Introduction to Quantum Mechanics" by David Griffiths, and "Quantum Mechanics for Scientists and Engineers" by David Miller. The conversation emphasizes the importance of selecting a textbook that aligns with the reader's level of understanding and goals, noting that classic texts like Dirac's may not be ideal for practical applications. Additionally, online resources such as MIT's OpenCourseWare are highlighted as valuable supplementary materials.

PREREQUISITES
  • Understanding of basic quantum mechanics concepts
  • Familiarity with mathematical principles relevant to physics
  • Knowledge of linear algebra and differential equations
  • Basic familiarity with quantum field theory (for advanced texts)
NEXT STEPS
  • Research "Modern Quantum Mechanics" by J. J. Sakurai for a comprehensive understanding of quantum principles.
  • Explore "Introduction to Quantum Mechanics" by David Griffiths for a solid undergraduate-level foundation.
  • Investigate online courses available through MIT's OpenCourseWare for structured learning.
  • Review David Miller's "Quantum Mechanics for Scientists and Engineers" for an accessible approach to quantum mechanics.
USEFUL FOR

Students, educators, and self-learners interested in gaining a foundational understanding of quantum mechanics, particularly those with a background in mathematics or physics.

Meow12
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Could you please suggest a good textbook for self-studying quantum mechanics? Not something too advanced. I have a math degree, so I'm not averse to equations.
 
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I think Ballentine is a reasonably good textbook.
 
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One of classics is Dirac’s in 1930 if you would enjoy literature and history.
 
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anuttarasammyak said:
One of classics is Dirac’s in 1930 if you would enjoy literature and history.
But hasn't quantum physics changed since Dirac?
 
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He belongs to pioneers who established QM. I do not think the textbook is old or not exact in current standard. It is still printed now. I would add that I don’t recommend it for students who would use QM practically.
 
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anuttarasammyak said:
One of classics is Dirac’s in 1930 if you would enjoy literature and history.
Feynman had tried it while undergrad but soon he abandoned it as “too difficult” and turned to Pauling & Wilson’s.
 
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Pauling & Wilson's was also a good book for me to apply QM in our real world. "Notorious" Dirac's book is commented in below linked radio broadcast at 47:00. I enjoyed it.
https://www.bbc.co.uk/programmes/m000fw0p
 
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  • #10
Meow12 said:
But hasn't quantum physics changed since Dirac?
I'd say that quantum mechanics (non-relativstic quantum theory) has not changed in its foundations, but there's of course plenty of new insights in the last ~80 years. Nevertheless Dirac's book is amazingly up to date, and the Dirac formalism (prepresentation independent formulation with abstract operators and bras and kets) is the one, where you can most easily express the physical meaning and mathematical structure of the theory. Nevertheless, I'd recommend a more recent book. My favorite since I've learnt QM in the first theory lecture on the subject is

J. J. Sakurai and S. Tuan, Modern Quantum Mechanics, Addison Wesley (1993).

There's a newer edition with Napolitano as co-author. AFAIK the only difference is that he added a chapter on so-called "relativistic quantum mechanics", which I strongly recommend NOT to read, because the only consistent formulation of relativistic QT is relativistic QFT, and thus one should learn relativistic QFT from the very beginning, when one wants to study relativistic QT, for which I recommend on the introductory level

S. Coleman, Lectures of Sidney Coleman on Quantum Field
Theory, World Scientific Publishing Co. Pte. Ltd., Hackensack
(2018), https://doi.org/10.1142/9371
 
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  • #12
As not too advanced, but good, I can recommend David Miller, Quantum Mechanics for Scientists and Engineers. While providing very accessible approach, it introduces/covers some 90% of standard QM topics + even introduces some advanced topics from quantum optics.
Also, Susskind, "Quantum Mechanics: The Theoretical Minimum" may be considered a good and compact introduction or an addition to Miller.
As a contribution to self studying, for the first book, MOOC is available on edx.org, for the second one, you can find videos on youtube.
 
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  • #13
I think Ballentine is too challenging for a first book. I like Sakurai's book. Alternatively, Griffith's is commonly used for Wave Mechanics.
 
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  • #14
jbergman said:
I think Ballentine is too challenging for a first book. I like Sakurai's book. Alternatively, Griffith's is commonly used for Wave Mechanics.
Hmmm... interesting. From your impression, is Ballentine more advanced than Sakurai? I understand they both are ranked as graduate level textbooks.
 
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  • #15
Meow12 said:
Could you please suggest a good textbook for self-studying quantum mechanics? Not something too advanced. I have a math degree, so I'm not averse to equations.
Since you've got a degree in math, why don't you try a text on QM written specifically for mathematicians? You might find the approach more interesting.
 
  • #16
apostolosdt said:
Since you've got a degree in math, why don't you try a text on QM written specifically for mathematicians? You might find the approach more interesting.
I'm hardly a mathematician--I just have a 3-year B.Sc. in math. To clarify, I only want an undergraduate-level textbook of QM.
 
  • #17
Meow12 said:
I'm hardly a mathematician--I just have a 3-year B.Sc. in math. To clarify, I only want an undergraduate-level textbook of QM.
Griffiths!
 
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  • #18
Meow12 said:
I'm hardly a mathematician--I just have a 3-year B.Sc. in math. To clarify, I only want an undergraduate-level textbook of QM.
It's good to discuss textbooks on QM with a sincere person. Anyway, you probably need a rather short, yet accurate account of QM at an introductory level. Much to the surprise of many members here, I would then suggest Dicke & Wittke's "Introduction to Quantum Mechanics," Addison-Wesley (original publication, 1966), a mere 380-page textbook. I'm sure you can find it in a good university library.
 
  • #19
PeroK said:
Griffiths!
Yes, Griffiths is also very good.
 
  • #20
There is no any good book on QM unless you already know QM.
 
  • #21
MichPod said:
There is no any good book on QM unless you already know QM.
If that is the case, how can anyone ever learn QM?
 
  • #22
MichPod said:
Hmmm... interesting. From your impression, is Ballentine more advanced than Sakurai? I understand they both are ranked as graduate level textbooks.
I think Sakurai starts off more slowly and builds more gradually into the material, focusing on spin first which is fairly simple.

Ballentine starts using density operators right away in Chapter 2 and Chapter 3 is a tour de force for deriving various observables from symmetries of Galilean transformations. It moves rather fast and you have to fill in more details on your own.
 
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  • #23
MichPod said:
Hmmm... interesting. From your impression, is Ballentine more advanced than Sakurai? I understand they both are ranked as graduate level textbooks.
Ballentine is a bit more advanced than Sakurai, given that he gives a brief introduction to rigged Hilbert spaces. On the other hand this tremendously helps to understand the issues with self-adjoint operators (domain, co-domain etc) and continuous spectra. Concerning the "interpretation issues" Ballentine is the best I know, but I'd not recommend to go into interpretation when just beginning to learn the physics. The "shutup-and-calculate approach" is the best at this state ;-)).
 
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  • #24
OP, what are you looking for exactly? Eiseberg/Resnick and Landau, for example, are both good books, but they are very different books.
 
  • #25
Vanadium 50 said:
OP, what are you looking for exactly?
I know some tidbits of quantum mechanics (mainly from Stephen Hawking's popular science books) like the uncertainty principle, the inherent randomness and unpredictability of quantum experiments, and wanted to delve a little deeper into the subject.
 
  • #26
Then, I'd rather suggest to first look at some undergrad textbook. Feynman vol. 3 is great for that!
 
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  • #29
I did not study/read it all, but I was very positively impressed from the first paragraphs.

A.I Lvovsky - Quantum Physics, an introduction based on photons

Of course it is not only about photons.
 
  • #30
I just listened to an awesome YouTube lecture on Quantum Mechanics by Sean Carroll:

I may buy his book Something Deeply Hidden: Quantum Worlds and the Emergence of Spacetime someday. This is really what I was looking for--not grad school textbooks.
 

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