Undergraduate Math & Physics: Applied or Pure?

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Discussion Overview

The discussion revolves around the choice between pursuing applied mathematics or pure mathematics as part of a double major in math and physics for students interested in working with particle accelerators. It explores the implications of each path on future work in accelerator physics and related fields.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants suggest that a university with strong programs in both physics and mathematics is ideal for those interested in accelerator physics.
  • Others argue that pure mathematics may be more suitable for theoretical work, while applied mathematics could be better for hands-on experimental work.
  • One participant emphasizes the importance of a solid foundation in electromagnetic theory and mathematical physics for those pursuing a career in accelerator physics.
  • There is a distinction made between particle accelerator physics and particle physics, with some participants clarifying that not all particle accelerators are associated with collisions.
  • Concerns are raised about the limited availability of undergraduate programs specifically focused on particle accelerator classes.
  • Some participants express confusion regarding the differences between accelerators and colliders, particularly in terms of energy levels and the role of quantum mechanics versus classical physics.
  • One participant mentions the existence of the US Particle Accelerator School, which offers graduate-level courses and opportunities for undergraduates to gain relevant knowledge.
  • Another viewpoint suggests considering engineering roles at accelerators for those more interested in hardware than theoretical physics.

Areas of Agreement / Disagreement

Participants express a range of views on the best educational path for aspiring accelerator physicists, with no clear consensus on whether applied or pure mathematics is preferable. There is also ongoing confusion regarding the distinctions between accelerators and colliders, indicating unresolved questions in that area.

Contextual Notes

The discussion highlights the need for a strong background in specific areas of physics and mathematics, as well as the limited availability of specialized undergraduate programs in accelerator physics. Additionally, the distinction between different types of particle physics is noted, but not fully resolved.

snackanddrink
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say i want to work at an accelerator, smashing some atoms and whatnot -

as an undergrad i'd like to do a math and physics double major, should i go with applied math or stick to pure mathematics?

...or just go to one of those beam schools?
 
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Well, find a university with both a good/great physics program and good/great mathematics program.

If one plans to do more theoretical work, then one may wish to pursure pure mathematics. If one will more hands on experimental work or simulations, the applied math would be a good route. Or one could mix the two with more emphasis on the one which supports one's interest in physics.

Attending a university, which operates an accelerator, would seem to be an advantage.

One might wish to look at the staff of some major accelerator facilities to see what there backgrounds are. Or join on the physics societies and get involved with those who specialize in accelerators and particle/atomic/beam physics.
 
snackanddrink said:
say i want to work at an accelerator, smashing some atoms and whatnot -

as an undergrad i'd like to do a math and physics double major, should i go with applied math or stick to pure mathematics?

...or just go to one of those beam schools?

Just to make sure we understand this clearly. Many people confuse "particle accelerator physics" with "particle PHYSICS" or "high energy physics". The term "beam physics" belongs in "particle accelerator physics" (see, for example, the category of the subtopic in Phys. Rev. Lett.).

Particle accelerators study the physics of charged beams, the physics of particle accelerators, and the engineering/material/design/diagnostics/etc of particle accelerators. Particle accelerators need not be associated at all with "particle physics" and particle colliders. For example, synchrotron centers need particle accelerators for their storage rings - no collisions of any kind here. In fact, collisions of any kind is bad. Free electron lasers also need particle accelerators.

At the undergraduate level, as far as I know, there aren't that many schools that have sub-programs where undergraduates can enroll in particle accelerator classes (there may be exception at schools that have big particle accelerator programs such as Maryland, Indiana, USC, Cornell, UCLA, Stanford, etc.). So as an undergraduate, the best you can do is prep yourself as much as you can to go into graduate school and specilize in accelerator physics. You need a tremendous background in Electromagnetic theory. This is a must, with no exception. You also need to have a solid foundation in mathematical physics, especially on vector calculus, linear algebra, and special functions. You WILL need to have computational skills. There are several computational packages used in this field such as Superfish, PARMELA, Microwave Studio, etc., and often, you have to write your own code, especially as pre/post processing of input or results for those computational packages.

Strangely enough, while you do need to know QM as a physics major, QM effects are seldom taken into consideration in beam physics and particle accelerators. Classical physics still dominates here.

Now, when you get into graduate schools, it is a different matter. Depending on where you go, you may have a bunch of classes that you can take for your specialization, or you may end up with almost none. Particle accelerator is not a large area, and thus, not many schools offer courses in it. This is why the particle accelerator community offers various particle accelerator schools throughout the world to provide students the necessary education. These schools have courses that carry college credits. Most of these courses are at the graduate level, and so carry graduate level college credits. The schools are often conducted during the summer when students can get away from their regular schools. These schools are offered in the US, Europe, Russia, and Japan. You may find more info of these schools at the US Particle Accelerator School page, which has a link to other Particle Accelerator Schools in other parts of the world.

http://uspas.fnal.gov/

You could also look at the various subject matter being taught and that will tell you the level of background knowledge you need at the undergraduate level.

Zz.
 
that was an amazing post, but I'm still not clear on accelerator vs collider.

colliders are just two accelerators pointed at each other, yes? how can one be considered medium energy and one be high?

does qm reign in high energy while classical physics does in medium?

thanks
 
snackanddrink said:
that was an amazing post, but I'm still not clear on accelerator vs collider.

colliders are just two accelerators pointed at each other, yes? how can one be considered medium energy and one be high?

does qm reign in high energy while classical physics does in medium?
Accelerators are devices designed to 'accelerate' particles, i.e. greatly increase their kinetic energy.

A collider is a special type of accelerator system wherein the particles of two beams are brought to collision, usually head-on. That allows for the maximum transformation of kinetic energy in a given interaction, which usually means new types of particles or transformation of the interacting particles, e.g. trying to tear them into their constituents.

QM applies to understanding the particle interactions on the subatomic level, i.e. at the particle level.
 
snackanddrink said:
that was an amazing post, but I'm still not clear on accelerator vs collider.

colliders are just two accelerators pointed at each other, yes? how can one be considered medium energy and one be high?

does qm reign in high energy while classical physics does in medium?

thanks

I'm not sure what exactly that you're asking here.

Accelerators are of coure needed for particle collider. But particle colliders are NOT the only place where accelerators are needed. Accelerators physicists don't usually care what is done to the particles that they've accelerated - it is up to the facilities involved to do whatever they want. All they care about is generating the necessary beam characteristics that a particular facility needs. In case of synchrotrons, they want evenly spaced charge buckets with a particular maximum energy spread. For particle colliders and FEL, they want low emittance. It has nothing to do with "medium" or "high energy".

Zz.
 
As a follow up, here is the most recent announcement of the next US Particle Accelerator School:

Message: The US Particle Accelerator School is offering a program of
university-style graduate-level credit courses sponsored by Texas A&M
University and held in Houston, Texas from January 15-26, 2007.
Participants can earn 3 semester hours of credit from Texas A&M in two
weeks. An undergraduate fundamentals course is offered as well as eleven
specialized graduate-level courses. In an effort to give students the
opportunity to learn more about the ILC, the USPAS has started to integrate
multiple courses about linear colliders into their curriculum. A hands-on
course entitled "Microwave Measurement and Beam Instrumentation Lab", a
course on Computational Accelerator Physics and a course on the Management
of Scientific Laboratories will also be offered.

Financial support is available to those who qualify (to include the student
fee, housing and 2 meals per day). Those not receiving financial support
can audit their course. Please visit http://uspas.fnal.gov for full course
descriptions and an electronic application form. For further information
please contact the USPAS Office at uspas@fnal.gov.

Zz.
 
Another idea if you are more into the hardware and less in the physics is to try to get a job at an accelerator as a engineer. There is (I believe) more of that work than in the pure physics and I am sure it would be very interesting also. You can still get a physics degree or electrical engineering would be good too.
 
haha, I am one of the many people deciding between EE or physics his second year undergrad :) you hit the nail on the head. it would be great to get two people on the forums in this field to compare these two jobs. anybody do an EE degree and build these things? if i see someone with this history, I am pretty decided to do EE!
 
  • #10
I am a physicist working in accelerator physics field. In our group, we have 5 graduate students, and 4 of them are EE majors, with the other one being a physics major. Out of the 5 staff members of our group, 4 are physicists, and one an RF engineer.

It is NOT uncommon when you get into this field that the two areas overlap, and overlap a lot. The EE majors have to learn a lot of EM fields, not just designing accelerating structures, waveguides, etc. They also have to learn quite a bit of materials properties. The physics majors have to know a lot of engineering, because they have to design components that go into the accelerators, and in some cases, actually build them.

I would strongly suggest one looks at the curriculum being offered and realize that the credits for those courses are accepted no matter if one is a physics major, or an engineering major.

Zz.
 
  • #11
that was very very very helpful to me ZapperZ, thankyou!
 

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