Is understanding analytical mechanics essential for studying QM?

In summary, the conversation discusses whether it is necessary to study analytical mechanics, particularly the Goldstein's book, in order to understand and study quantum mechanics. The consensus is that while it may not be necessary to read the entire book, it is important to focus on important concepts such as Lagrangians and Hamiltonians. However, some programs do teach quantum mechanics without teaching analytical mechanics, but having a background in it can provide a better understanding of the underlying concepts. Ultimately, it is recommended to at least read the first few chapters of Goldstein's book to gain a better understanding of quantum mechanics.
  • #1
Jianphys17
66
2
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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  • #3
Well, not the whole book, but definitely the important stuff, like Lagrangians and Hamiltonians.
 
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  • #4
dextercioby said:
Well, not the whole book, but definitely the important stuff, like Lagrangians and Hamiltonians.
It wouldn't harm him. :-)
 
  • #5
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.
 
  • #6
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...
 
  • #7
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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  • #8
TAHNKS
 
  • #9
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 schrodinger 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.
 

1. What is analytical mechanics?

Analytical mechanics is a branch of physics that applies mathematical methods to study the motion of systems of particles and rigid bodies. It provides a framework for understanding and predicting the behavior of physical systems based on fundamental principles such as Newton's laws of motion and conservation of energy and momentum.

2. What is quantum mechanics?

Quantum mechanics is a branch of physics that studies the behavior of matter and energy at a very small scale, such as atoms and subatomic particles. It describes how particles behave and interact with each other through the use of mathematical equations and principles, such as superposition and uncertainty.

3. How are analytical mechanics and quantum mechanics related?

Analytical mechanics and quantum mechanics are both fundamental theories in physics that provide mathematical frameworks for understanding the behavior of physical systems. While analytical mechanics focuses on macroscopic systems, such as objects in motion, quantum mechanics deals with the behavior of particles at a microscopic level. Both theories have been successful in explaining and predicting the behavior of physical systems and are used in various fields of science and engineering.

4. What are some practical applications of analytical mechanics and quantum mechanics?

Analytical mechanics and quantum mechanics have many practical applications in fields such as engineering, chemistry, and materials science. For example, analytical mechanics is used in designing and analyzing structures and machines, while quantum mechanics is used in developing technologies such as transistors, lasers, and computer memory. These theories also have implications in fields such as medicine and energy production.

5. What are some common misconceptions about analytical mechanics and quantum mechanics?

One common misconception is that analytical mechanics and quantum mechanics are in conflict with each other. While they may seem to have different principles and approaches, they are both fundamental theories in physics that have been verified through empirical evidence. Another misconception is that quantum mechanics only applies to very small systems and has no relevance in our everyday lives. However, quantum mechanics has been successfully applied in various technologies and has implications for our understanding of the universe at a macroscopic level.

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