try getting an academic job after writing a thesis on string theory. All I was saying was that QFT is fundamental. Once you know it, you can pursue more fundamental theories within the QFT framework... or you can work in a field that already uses QFT.
particle physics is a dying branch. most of the theory is all worked out. I would say that the most fundamental you can get is working on the interface between quantum mechanics and gravity. that being said, many years and careers have been wasted on this.
(warning: my post does not really contribute anything meaningful to the discussion)
I was under the impression that the solution to this equation was what defined bessel functions. I could be wrong, though.
I know someone that got into a top 20 physics grad school with a 2.6 GPA while scoring in the 50th percentile on the PGRE, but they had 3 publications by the time they got their Bachelors. Perhaps you can stick around your school and try to do free work for a professor.
When it comes to the...
Courses (1st yr grad student)
Quantum Mechanics - Book: Arno Bohm's book on QM
Quantum Field Theory - Book: Bjorken and Drell V 1 and 2 (not sure why not Peskin...)
Graduate Research
i guess you could break it into smaller bubbles, but it would not pop..the best you could do would be to break it up into so many bubbles that it appears to be dissolved, but that would depend on the temperature of the water.
You probably won't learn much about maple or mathematica in any CS class. I would suggest taking computational math or physics (usually called 'applied mathematics' or 'applied physics').
As for complex analysis, it is a very important course for physics. It will come up in electrodynamics...