Continue Learning Quantum Mechanics: Next Steps & Resources

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Discussion Overview

The discussion centers around the next steps in learning quantum mechanics after an introductory course, specifically focusing on topics such as second quantization, Green functions, propagators, coherence, and quantum interference. Participants seek recommendations for further study materials and mathematical formalism necessary for advanced topics, as well as insights into the structure of undergraduate and graduate courses in quantum mechanics and particle physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant expresses a desire to continue studying quantum mechanics after completing a course that ended with perturbation theory and diffusion, asking for guidance on subsequent topics and necessary mathematical formalism.
  • Another participant inquires about the specific textbook used and the areas of interest in quantum mechanics, suggesting that the direction of study may depend on these factors.
  • Some participants mention Cohen-Tannoudji's texts as potential resources, while one notes they have already studied the material covered in those books and seeks advanced topics.
  • Discussion includes references to other texts such as "Quantum Mechanics II" by Ruben Landau and "Lectures on Quantum Mechanics" by Baym, which cover scattering theory and second quantization.
  • One participant describes their educational background and plans to pursue further studies in particle physics, considering the relevance of quantum mechanics courses to their goals.
  • Recommendations for particle physics texts include "Quarks and Leptons" by Halzen & Martin and Griffiths's particle physics book, with questions raised about the mathematical prerequisites for these texts.
  • Another participant suggests that the mathematics required for "Quarks and Leptons" is likely familiar to those who have studied quantum mechanics.

Areas of Agreement / Disagreement

Participants generally agree on the importance of identifying the next steps in quantum mechanics study, but there is no consensus on the specific path or resources to pursue. Multiple competing views on the appropriate texts and topics remain, reflecting differing educational systems and personal goals.

Contextual Notes

Participants express uncertainty regarding the structure of undergraduate and graduate courses, particularly in relation to their own educational systems, which may differ from typical frameworks. There is also a lack of clarity on the mathematical requirements for advanced texts.

Who May Find This Useful

Students and self-learners interested in advancing their knowledge of quantum mechanics and particle physics, particularly those seeking guidance on resources and study paths after introductory courses.

ziad1985
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I had a course last semester which was an introduction to quantum mechanics.
The course ended in Perturbation Theory , and Diffusion.
So I wonder what should be next to learn in quantum mechanics, i want to continue studying it myself , So what are the next topics to learn and what kind of mathematical formalism do i need to learn them?
Any books recommended?

This is kind important because there is Course about quantum mechanics will deal with second quantification green function Propagators Coherence and quantum interference.
so my other question would be should are these the next level or there is some stuff in between ?
 
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What text did you use? (Where does your textbook end?)
What aspects of QM (and physics in general) are you interested in?
abstract? theoretical? applied? experimental? computational?...
 
Well no textbook , my teacher used his knowledge , my main interest is more theoretical and i want something in relation to particle physics.
The course ended in Perturbation theory(covering also time perturbation) and scattering (dunno if my translation from French to English is right but i think it's called scattering).
 
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I already have Cohen-Tannoudji that what i used myself to study , every topic addressed in the book i have studied it, looking for the next level.
My knowledge level include what's in the book.
 
Sorry i just checked the second book , so your recommendation is to get a introductory level of QED?
 
ziad1985 said:
I had a course last semester which was an introduction to quantum mechanics.
The course ended in Perturbation Theory , and Diffusion.
So I wonder what should be next to learn in quantum mechanics, i want to continue studying it myself , So what are the next topics to learn and what kind of mathematical formalism do i need to learn them?
Any books recommended?

This is kind important because there is Course about quantum mechanics will deal with second quantification green function Propagators Coherence and quantum interference.
so my other question would be should are these the next level or there is some stuff in between ?

Looks like we're in the same boat, because this is where my last quantum course ended. From what I've been told by professors, our next stop is a graduate level course in quantum mechanics (which is actually what I'm planning on taking next Fall in grad school). Or does your school offer more undergrad classes in quantum mechanics?
 
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Actually arunma , I'm not quiet familiar with undergrad and grad system, the system here is a bit different.
what i can tell you that i already finished what would be equivalent of a BS degree in general physics last semester.This is year(2 semesters) would be an Equivalent of an M1 master degree in The LMD system.
I have a choice to take one extra semester after i finish this year and take some extra courses , one of them includes Quantum mechanics which involves some stuff i already mentioned "second quantification, green function, Propagators, Coherence, and quantum interference".
I'm thinking of not taking that extra semester , instead I'm planning to continue my studies and try to get the M2 degree in "Saint Joseph Fourier" in Grenoble, France.
I want to continue in particle physics and they have quiet a good program their offering pretty the same stuff that I'd take in that extra semester.
 
  • #10
For particle physics, you might want to try Halzen & Martin, Quarks and Leptons. The university library should have that one. I've also heard good things about Griffiths's particle physics book.
 
  • #11
"Halzen & Martin, Quarks and Leptons" actually i already saw this book before , but never had the idea to take it.
Would the math involved be something already i know , or new stuff ?
I'll search for the other book.
 
  • #12
ziad1985 said:
"Halzen & Martin, Quarks and Leptons" actually i already saw this book before , but never had the idea to take it.
Would the math involved be something already i know , or new stuff ?
I'll search for the other book.

I don't think there's any new math in it. I think QM is all that's required.

Also look for Aitchison & Hey, Gauge Theories of Particle Physics.
 
  • #13
I'll see to get these 3 books then.
Thank you very much for your help..
 

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