Which is easier to learn, QM or GR?

  • Thread starter Jonnyb42
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In summary, learning both Quantum Mechanics and General Relativity requires a grasp of new mathematical concepts. However, QM may be slightly easier as it primarily involves linear algebra and PDEs, while GR requires a understanding of differential geometry and tensor analysis. In a typical undergraduate program, QM is usually covered in one semester course, while GR may take multiple one-semester courses.
  • #1
Jonnyb42
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I will eventually learn both, but as far as mathematics goes (not concept,) which is easier to learn, Quantum Mechanics or General Relativity? I really am asking in terms of mathematics, because I know Quantum Mechanics has more application but I am not using that as a factor.

thanks!
 
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  • #2
Both require something which most regard at first sight to be 'new and tricky'. For QM you will need to learn all about vector spaces and operator algebra, whereas GR needs a firm grounding in differential topology and tensor analysis.

I suppose both are equally difficult at first look, since both require mathematical concepts of the like you will not have encountered before.

,Simon
 
  • #3
Definitely QM: At the introductory level it's mostly linear algebra, and some PDEs. You may have already picked all of this up in your studies. GR on the other hand needs a good amount of what is probably new math: namely differential geometry and tensor analysis.
 
  • #4
Heh, for a second I read QM as "QFT." I'd definitely say QM. Yeah, you need to learn a bunch of linear algebra, but most people do that their sophomore year. And since the new math is introduced in a physics context, I found QM a lot easier than GR.
 
  • #5
GR.

How many one-semester courses are used to cover QM in a typical undergrad program? How many one-semester courses are used to cover GR in a typical undergrad program?
 

Related to Which is easier to learn, QM or GR?

1. Which is easier to learn, quantum mechanics or general relativity?

It is subjective to determine which is easier to learn, as it depends on the individual's background and understanding of mathematics and physics. However, generally, quantum mechanics is considered more challenging due to its abstract concepts and complex mathematical equations.

2. Are there any prerequisites for learning quantum mechanics or general relativity?

Both quantum mechanics and general relativity require a strong foundation in mathematics, particularly calculus, linear algebra, and differential equations. Additionally, a basic understanding of classical mechanics and electromagnetism is recommended.

3. Can someone learn both quantum mechanics and general relativity simultaneously?

It is not recommended to learn both quantum mechanics and general relativity at the same time, as they are two distinct and complex theories that require a significant amount of time and effort to fully understand. It is better to focus on one theory at a time.

4. Which theory is more relevant or applicable in today's world?

Both quantum mechanics and general relativity have numerous applications in modern technology, such as in electronics, telecommunications, and GPS. However, quantum mechanics is also used in fields like nanotechnology and quantum computing, which have potential for significant advancements in the future.

5. Are there any real-life applications of quantum mechanics and general relativity?

Quantum mechanics and general relativity have many real-life applications, such as in medical imaging, GPS technology, and nuclear power. Additionally, the principles of quantum mechanics are used in technologies like transistors, lasers, and computer memory. General relativity is also used in space exploration and satellite navigation.

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