Math Physics: What Is It & Is It Better?

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Discussion Overview

The discussion revolves around the definition and scope of mathematical physics, its distinction from theoretical physics, and the potential career paths available for those pursuing a degree in this field. Participants explore the nature of mathematical physics, its methods, and its applications in solving physics problems.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants describe mathematical physics as a field focused on solving mathematical problems that arise in physics, often involving complex equations and methods.
  • Others suggest that mathematical physics may involve a mathematically rigorous study of physical models, though there is uncertainty about the practical benefits of this approach.
  • A participant notes that mathematical physicists might be more akin to mathematicians, focusing on proofs and problem-solving, while theoretical physicists are seen as more empirical and experimental in their approach.
  • There is a question about whether a career in mathematical physics is limited to academia, with some participants inquiring about other potential career paths and their financial viability.
  • One participant draws an analogy between mathematical physicists and string theorists, contrasting them with theoretical physicists who are likened to model builders.

Areas of Agreement / Disagreement

Participants express varying views on the distinction between mathematical physics and theoretical physics, with no consensus reached on the definitions or implications of these fields. Additionally, there is uncertainty regarding the career prospects associated with a degree in mathematical physics.

Contextual Notes

Some participants express concerns about the practical applications of mathematically rigorous studies in physics, indicating a potential limitation in understanding the field's value. There is also a lack of clarity on the specific career paths available to graduates in mathematical physics.

temaire
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What precisely is mathematical physics? Also, is it a better field to go into than just math or just physics?

Sorry if I'am being innaccurate with the "just math or just physics" but I think you guys know what I mean.
 
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I took 2 quarters of mathematical physics. In it, we learned various mathematical methods of solving physics problems. So for example, instead of just saying "Let the computer solve it", we actually did it by hand. It wasn't anything ugly, since it was meant to be methods that actually make it easier. So we spent a lot of time on solving harmonic oscillators in various ways.

I can't say for sure what a career in Math. Phys. would be like, though. Possibly researching ways to analytically solve problems that are "too complicated" to solve at the moment analytically.
 
Poop-Loops said:
I can't say for sure what a career in Math. Phys. would be like, though. Possibly researching ways to analytically solve problems that are "too complicated" to solve at the moment analytically.

Would this be what a prof. of Math. Phys. would be doing? Also, is becoming a prof. the only notible career path you can take with a degree in Math. Phys.?
 
i don't know how to differentiate it from "Theoretical Physics". both seem pretty hard-core. John Baez calls himself a Mathematical Physicist.
 
Traditonally, it is about solving mathematical problems that arise in physics (and are too difficult to be left to the physicist :-) ) - like finding a solution to some PDE, making integral transforms, minimizing some functional,...

But it can also mean mathematically rigorous study of physical models, which seems pretty interesting to me, but I'm afraid that not much can be gained out of that - or am I wrong?
 
temaire said:
What precisely is mathematical physics? Also, is it a better field to go into than just math or just physics?

Sorry if I'am being innaccurate with the "just math or just physics" but I think you guys know what I mean.

The way my quantum professor explained it to me: theoretical physicists are physicists, mathematical physicists are mathematicians. My understanding is that mathematical physics is a discipline within math departments. Mathematical physicists would probably be interested in proofs, and in solving problems in mathematics. Theoretical physicists, however, appear to be more interested in getting results that can be empirically tested, and they work fairly closely with experimental physicists. My advisor, for example, is an experimental physicist, but we have a theoretical professor in our group as well, and he's familiar with many of the details of our experiment.

Well, hope this helps.
 
With a degree in Math. Phys. is the only notible career path becoming a prof., or are there other worth while career paths with this degree, in terms of pay.
 
I guess if you have some familiarity with the stuff advanced physicists do, a good analogy is that mathematical physicists are more like string theorists. Theoretical physicists are like model builders.
 

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