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The term to look for is Coulomb wave. These wavefunctions are well explained in the corresponding Wikipedia article. Depending on your mathematical background, you should be ready for a bit of a formula jolt, as these wavefunctions rely very intimately on the confluent hypergeometric function. If you want the short of it, then I can tell you that the ...

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The key idea for the positive mass theorem is that asymptotically flat spacetime always has non-negative energy. Furthermore, of all spacetime which are asymptotically flat, empty Minkowski space is the only one which has zero energy. This is an important result because it tells us that spacetimes such as Minkowski are inherently stable. Now, the proof of ...

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I suggest the American Journal of Physics as a good reference for undergraduates. The readership is Physics teachers so usually covers the topics that are of interest to students and the parts of a research subject that are of most interest to students. Plus it tries to make thing accessible to people that aren't in the specific subfield (in case they are ...

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My personal favorite is "Mathematical Foundations Of Statistical Mechanics" by A. I. Khinchin (a mathematician) and G. Gamow. The content remains mathematically rigorous throughout, but nonetheless very readable. In chapter two, both the Liouville and Birkhoff theorems are derived, followed up by a long discussion on metric decomposability of phase space and ...

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I've only really done antennas in undergrad, and the most we really looked at was phased arrays of half wavelength antennas and looking at the resulting field distribution far from the source, so take what I say with a grain of salt. One interesting thing to look at might be genetic optimization processes for antenna design. I believe that there has been ...

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The FourierTransform.com is a website maintained by an enthusiast. The site is not peer reviewed, but it looks as though it might provide helpful explanations. Here's a link which provides some basic introduction to the Fourier transform. And here is another link to class notes provided by Prof. Carlton M. Caves for an introduction to the Fourier ...

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I would recommend for the concepts & intuitions for Newtonian Mechanics: $\bullet$ Newtonian Mechanics: Introductory M.I.T. Physics series by A.P.French: Newtonian Mechanics by A.P. French, retd. MIT physics professor, is really as worthy as gold to have. It is designed to be a more or less self-contained introduction to Newtonian mechanics. Students ...

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My absolute favorite book on the subject is the one that we used in our Gas Dynamics class: Introduction to Physical Gas Dynamics by Vincenti and Kruger. I had never had an introduction to statistical mechanics prior to this book and it does a great job developing the requirements as they are needed and providing motivation for the path it takes. I also ...

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You can check The Best Cheap Budget Telescopes Under \$200; this presents the latest list of all affordable telescopes that are competent for beginners. Also you can check The cheap telescopes of 2014. Remember always that though magnification is good, but you must need to have a good apparture in your device & for that I prefer Newtonian telescopes or in ...

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There are many resources on many-body Green's functions (propagators) both on-line and in print. You may want to search "quantum field methods in many-particle systems" or "quantum field methods for condensed matter systems" or variations thereof. In any case, I personally recommend the oldie-but-goodie book by Fetter and Walecka, Quantum Theory of ...

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I highly recommend Richard D. Mattuck A Guide to Feynman Diagrams in the Many-Body Problem. You can read some pages here. It's a very surface level introduction, but the first 3 or so chapters are presented at what he calls a "kindergarten" level so you shouldn't have any problems understanding it. However, the last part is most definitely not ...

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then the created pions will be at rest correct? Well, they will be at rest in the Center of Momentum frame. But that is not the frame of reference that your problem is stated in. Momentum is conserved, which tells you that you have written the pion four-vectors incorrectly.

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