arunma said:
A mathematical physics degree, unlike physics, is usually offered by a school's math department, andis mathematics rather than physics. Basically, mathematical physicists are mathematicians, whereas theoretical physicists are physicists. At least that's how it's always been explained to me.
Not that I am far enough along in my education to really know, but it seems to me (based on what I've read here, and in other places) that the more theoretical your work in physics is, the more you need in terms of mathematics, simply because the level of abstraction goes up. Subjects like Group, Ring and Field Theory, Topology, differential geometry and such are not subjects most physics majors take as an undergrad, but I know that a lot of modern physics has been able to be developed by using this more abstract level of math (as opposed to say just using linear algebra and diff eqs).
I could be wrong though. Anyway, as far as grad school goes, I am sure if you cover essentials in your Mathematical Physics degree (classical, e&m, quantum, thermo and stat mech), you'll be fine to go into grad school. Most schools offer some sort of Mathematical Physics courses which are usually required anyway.
I got to take at least 2 of these mathematical physics classes for the major, and I've taken one so far and all it really was was just the entire contents of Calc I-III through lower div Lin Algebra and Diff Eqs in 5 weeks (it was a summer class, so normally it woulda been 10 weeks). SO while intense in trying to cram that many topics in such a short time, most if not all of this should have just been review to someone about to take upper div physics classes.
I do have to say that after taking a couple of upper div math classes, I still have NO CLUE how any of this Abstract Algebra stuff (group theory) can be applied to a problem in physics...but I know it is, because I've read it to be so. So if there was such a major as mathematical physics offered by my school, offering classes which actually "melt" higher math with physics, id much rather do that, then my current double major in math and physics. The math classes taught for the sake of math, and the physics classes present the math as "this is the concept and this is how you solve it" rather than going into it any deeper than that.