Recent content by lotm

Hey all, I have what I think (hope) is a relatively quick pair of questions regarding entanglement of fermions and bosons. First, am I right in saying that if two fermions are in the same position-state, they will necessarily be entangled? My reasoning here is just that if their...

Yeah, I'm struggling a bit to get the tex code right. Screw it, I'll come back once I've figured out how to ask the question properly.

Heyo, I'm having difficulty seeing how these two lines follow. I'm fairly sure I'm being an eejit and the answer's straightforward, but would appreciate a quick explanation of what's going on. \frac{1}{2\pi}\int d^3p e^{-i(\emph{p}^2/2m)t} \\ \times e^{i\emph{p.(x-x_0)}} \\ = (\frac{m}{2...

My understanding was that \partial^\mu \phi = g^{\mu\nu}\partial_\nu \phi is used to define the contravariant derivative \nabla^{\mu} (\nabla rather than \partial since we're in GR, though as you've said it reduces to \partial in the case of a scalar function). Given a differentiable...

Yeah, as people have said, it's worth disentangling two separate things: 1. The mathematical 'theory of probability' 2. The interpretation of said theory The first (usually) refers to the consistent mathematical theory described by the Kolmogorov axioms. Other mathematical setups have...

The L-C symbol is substantially trickier to get an intuitive handle on - I still don't really have a 'gut feel' for it, even after a few years. The closest thing is probably to understand it as a kind of 'shuffler', which swaps about entries inside matrices in a cyclic sort of way. Hence, it...

You said what you were looking for was an intuitive picture of the Kroenecker delta and Levi-Civita symbol? Well, sounds like you're pretty damn close with the delta: I don't quite get why you start talking about vectors - you're on the right track when you say you have a matrix which is...