Why Should You Study Feynman Path Integrals in Quantum Mechanics?

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Discussion Overview

The discussion revolves around the significance of studying Feynman Path Integrals in Quantum Mechanics, particularly in the context of academic courses and personal interest. Participants explore whether this topic is essential for students, especially those pursuing advanced studies in physics.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • Some participants suggest that the importance of Feynman Path Integrals may depend on the level of the course, with undergraduates potentially not needing to focus on it yet, while graduate students interested in High Energy Physics or condensed matter theory might find it worthwhile to learn.
  • One participant humorously dismisses Feynman's contributions, suggesting they can be ignored, while others challenge this view, emphasizing the importance of understanding path-dependent processes in physics and engineering.
  • Another participant argues that Path Integrals could be more fundamental for certain areas, like Quantum Gravity, despite existing mathematical difficulties.
  • There is a suggestion that students should engage directly with their professors to learn about the topic if it is not covered in class.
  • Some participants express that curiosity should drive the learning of Feynman Path Integrals, regardless of their perceived importance in current research practices.

Areas of Agreement / Disagreement

Participants exhibit a mix of opinions regarding the necessity of studying Feynman Path Integrals. While some argue for its importance, others downplay its relevance, leading to an unresolved discussion with competing views.

Contextual Notes

The discussion reflects varying perspectives on the relevance of Feynman Path Integrals in different fields of physics and the academic trajectory of students, highlighting the subjective nature of educational priorities.

ptabor
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My QM prof skipped over the topic of the Feynman Path integral formulation...

Is this material important enough that I should learn it on my own (personal curiosity aside)?

The Text is Principles of Quantum Mechanics by R. Shankar
 
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What is the level of the course? I assume either upper div. undergrad or 1st semester grad.

If you're an undergrad, I wouldn't worry about it yet. If you're a grad student and you're pretty sure you want to do High Energy then it would be worth your time to get starting learning the material.

But most working physicists don't use Feynman path integrals in their research, so it's not so necessary that you run out and learn it now.

Of course, if you're really curious, then it doesn't matter how important it is...just see what you can pick up.
 
HonkyTonk said:
If you're a grad student and you're pretty sure you want to do High Energy ...
or condensed matter theory
...then it would be worth your time to get starting learning the material.
 
Just ask him to teach you.
 
ptabor said:
My QM prof skipped over the topic of the Feynman Path integral formulation...

Is this material important enough that I should learn it on my own (personal curiosity aside)?

if you consider yourself a physics person... you should at least know the ideas behind it
 
no, since feynman was a moron, compared to those of us posting anonymously of PF, his ideas can safely be ignored.
 
mathwonk said:
no, since feynman was a moron, compared to those of us posting anonymously of PF, his ideas can safely be ignored.

I take it this is supposed to be humorous?
 
mathwonk said:
no, since feynman was a moron, compared to those of us posting anonymously of PF, his ideas can safely be ignored.
:smile:

I take it this is supposed to be humorous?
He just being sarcastically contrarian. :biggrin:

Path integrals are important, and more generally, understanding path dependent processes and states is exceedingly important if one wants to be really good in one's field, be it physics or engineering.
 
Path integrals are important, and more generally, understanding path dependent processes and states is exceedingly important if one wants to be really good in one's field, be it physics or engineering.

Very well said, and so those who are either pragmatic or curious would do well to both read up on Feynman path integrals as well as the Calculus of Variations.
 
  • #10
Some might argue that [in spite of current mathematical difficulties] Path Integrals may be more fundamental [for (say) Quantum Gravity] than "standard" approaches to Quantum Mechanics.
 
  • #11
Path integrals is doing quantum mechanics when you are doing classical mechanics. see Feynman and Hibbs
 

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