Is understanding analytical mechanics essential for studying QM?

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SUMMARY

Understanding analytical mechanics is essential for a comprehensive study of quantum mechanics (QM). Key concepts such as Lagrangians and Hamiltonians, as discussed in Goldstein's "Classical Mechanics," provide a crucial foundation for grasping QM principles. While some educational programs may teach QM without prior knowledge of analytical mechanics, familiarity with these classical concepts enhances comprehension of advanced topics like quantum field theory and relativity. Therefore, engaging with the relevant sections of Goldstein's book is recommended for a deeper understanding of QM.

PREREQUISITES
  • Familiarity with Lagrangian mechanics
  • Understanding of Hamiltonian mechanics
  • Basic knowledge of quantum mechanics principles
  • Experience with classical mechanics textbooks, particularly Goldstein's "Classical Mechanics"
NEXT STEPS
  • Study Lagrangian and Hamiltonian formulations in classical mechanics
  • Read the first 150 pages of Goldstein's "Classical Mechanics"
  • Explore the Schrödinger formalism in quantum mechanics
  • Investigate advanced topics in quantum field theory and relativity
USEFUL FOR

Physics students, educators, and anyone interested in bridging the gap between classical mechanics and quantum mechanics will benefit from this discussion.

Jianphys17
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Hi at all.
I'm wondered is necessary learn well analytical mechanic ( eg learning The Goldstein's book), for understand and study QM ?
 
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Well, yes. Why would you think it's not?
 
Well, not the whole book, but definitely the important stuff, like Lagrangians and Hamiltonians.
 
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dextercioby said:
Well, not the whole book, but definitely the important stuff, like Lagrangians and Hamiltonians.
It wouldn't harm him. :-)
 
Depends on how deep you want to go. If you want to know everything about QM an undergraduate in physics knows, then I think you'll be fine for the most part without ever taking analytical mechanics. Also, why do you want to study from Goldstein? That's a graduate textbook and is kind of overkill if what you ultimately want is to learn QM.
 
haushofer said:
Well, yes. Why would you think it's not?
Yes that i know, but i meant if it is necessary to study all Goldstein for good, for begin to grasp qm...
 
It always baffled me how some programs teach quantum mechanics without ever mentioning hamiltonians in the classical setting. It is kind of asking students to accept a completely new concept in a completely new setting without ever seeing the classical background.

That being said, some programs do teach QM without teaching analytical mechanics. However, you will have an advantage in terms of understanding the underlying concepts if you do.
 
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TAHNKS
 
Goldstein is great book, just give it a try and read the lightly first chapters just to first 150p. and try to read hamiltonian formalism chapter. You'll enjoy quantum mechanics because you will understand Schrödinger formalism.
If you mean if it neccesary to read the whole book, No you don't need to.
But if you look further to learn advanced topics like relativity and quantum field theory you need it.
 

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