Recent content by TomCurious

Thank you everyone! This was enormously helpful. Sorry about the late reply - I've been on vacation!

@atyy Hahaha. Thank you, I meant Rudin. @Bourbaki Yes, as I mentioned, I have been exposed to Real Analysis (by basic, I meant the equivalent of a third year course, although I paid far too little attention to anything which was not essential for my understanding of physics). Regarding...

I've just acquired a copy of Principles of Mathematical Analysis by Ruden (3e) and, I must say, it is unlike any text I've ever read. Indeed, the level of abstraction and the amount of 'blanks' in the proofs have caused me to invest more time than usual into a book. Reading this has caused...

Thank you for that gracious exposition, samalkhaiat, you were wonderfully clear. However, I do have three questions: 1. Given two killing vectors (e.g. X and Y), their commutator is also a Killing Vector. Accordingly, the killing vectors with Lie bracket form a Lie subalgebra of vector...

I am reading http://www.sciencedirect.com/science/article/pii/0370157375900514 (as I downloaded it via ebookee, I was inclined to think it was a book - my apologies). I have seen this elsewhere in the literature, however. Undoubtedly, Φ is an operator in a Hilbert Space (the Fock space, to be...

Hello, this question will essentially concern quantum field theory in curved spacetime, and it has two parts to it. I have recently acquired DeWitt's treatment of the formalism, which immediately discusses the role of killing vectors in the theory. Specifically, given a killing vector field...

Oh, I see. Thank you very much! I was looking at equation (2.14) - my bad!

Homework Statement I was just reading this article on the arXiv: http://arxiv.org/abs/0711.0313 , which discusses trapped surfaces and black holes. There is a simple qualm I have, though, but it is persistent, and I cannot seem to come to terms with it. Looking at equation's (1) and (2)...

I am glad you raised this, because it was another question I was hoping to ask. So, in effect, you answered two of them! (thank you) Unfortunately, the wikipedia article you referred me to is rather heuristic. Could you direct me to a more detailed treatment of K-capture (i.e. more...

The 'reason' electrons do not collapse into the nucleus of atom is due to the standing wave nature of the electron. This is all fine and dandy. My question, essentially, is why the same does not hold true for positronium (in which an electron orbits a positron). Shouldn't the electron...