A Quantum Field Theory for the Gifted Amateur: Fourier Transforms & Excitations

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The discussion centers on understanding concepts from "Quantum Field Theory for the Gifted Amateur," particularly regarding Fourier transforms and the uncoupling of excitations in a linear chain of atoms. Participants express confusion over specific equations, such as 2.50, and the implications of Hamiltonians 2.45 and 2.59, with one noting that coupled equations depend on each other while decoupled equations do not. There is a focus on the mathematical derivations and the importance of grasping concepts before performing calculations. The conversation emphasizes the need for clarity in understanding the relationships between operators and their implications in quantum mechanics. Overall, the thread highlights the challenges faced by learners in grasping complex theoretical physics concepts.
  • #31
I want to say that i suppose i am wrong because you don't agree and would very much like to understand why?
 
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  • #32
In eq's 3.17 and 3.18 p 33 QFT for the gifted amateur
Are the constants of proportionality ##\sqrt (n_i+1) and \sqrt n_i## explained somewhere in the book?
 
  • #33
anklimekruk said:
I want to say that i suppose i am wrong because you don't agree and would very much like to understand why?

If I understand what you meant, then it's the same I guess, but you should only ask if you're stuck somewhere. These problems are easy to figure out, we aren't being paid as tutors so you should only ask a question when you've tried everything first.

anklimekruk said:
In eq's 3.17 and 3.18 p 33 QFT for the gifted amateur
Are the constants of proportionality ##\sqrt (n_i+1) and \sqrt n_i## explained somewhere in the book?

Page 22, bottom.
 
  • #34
Thanks!
ddd123 said:
If I understand what you meant, then it's the same I guess, but you should only ask if you're stuck somewhere. These problems are easy to figure out, we aren't being paid as tutors so you should only ask a question when you've tried everything first.
Page 22, bottom.
thanks!
 
  • #35
I am really doing my best to understand before I ask a question!
May I ask if it is necessary to mention each time "QFT for the gifted amateur"
Thanks again for helping!
 
  • #36
anklimekruk said:
I am really doing my best to understand before I ask a question!

Then work on why you couldn't figure it out even if it was your best. You may need a change in method rather than effort. But anyway, you read less than 25 pages and you already missed the normalization of creation and annihilation operators which was clearly stated. It's not like you lost a minor detail after 250 pages of study...

As I said, your FIRST post asked legitimate questions, all the others were really trivial and they seem to be getting more and more trivial. I kept answering because your first questions were good questions, but it has to stop at some point. If your next question will have another obvious answer you'll have to hope someone else comes along, I can't walk you through a whole book, I have things to do...
 
  • #37
I am just a fascinated selfstudent.
I understand your time is precious and I fully respect it!
It's also a chalenge to understand things by myself.
These are two excellent reasons to do my very best to understand before asking a question.
Anyhow i am gratefull to you for all your answers.They have been helpful and instructive as well.
Thanks to you i reached p 33.
It's clear you expect a higher level but I hope you can trust me to improve with time.
If not it will be like failing the admission exams.What can i do? That's life...
 
  • #38
anklimekruk said:
It's clear you expect a higher level but I hope you can trust me to improve with time.
If not it will be like failing the admission exams.What can i do? That's life...

No, you have it all wrong, I don't expect anything from you because I'm not a university. Posting a conceptual question is accepted in the quantum section of physics forums, but if you're going to keep on like this you should be posting here instead: https://www.physicsforums.com/forums/advanced-physics-homework.154/ . Now the misunderstanding is clear so this is my last post in this thread, the homework section is where you should post.
 
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  • #39
ddd123 said:
No, you have it all wrong, I don't expect anything from you because I'm not a university. Posting a conceptual question is accepted in the quantum section of physics forums, but if you're going to keep on like this you should be posting here instead: https://www.physicsforums.com/forums/advanced-physics-homework.154/ . Now the misunderstanding is clear so this is my last post in this thread, the homework section is where you should post.

I thank you for guiding me further to "homework PF"
By the way i am p 35.Thanks to your legitimate critics i made an extra effort and understood by my self the mathematics of the previous pages.
I found it relatively easy.So i am surely not as you say "going to keep on like this." I hope to satify the requirements necessary for getting the help i will need.Maybe some day i will be able to help others on my turn.
 
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