About the idea of rebuilding proofs...
If you're studying a textbook and have read all previous sections, in THEORY, a lot of the time, you should be able to "rederive" all the results in the section that follows before you even read it. Why are students not given this task? Because it would...
Thanks for all the replies. micromass, I took on that attitude too, and I agree with it. But I've committed myself to work on this project **full-time** for the next year. I'm not taking any classes, even. That's a long time to be reminded that I don't like something.
We're working on a quantum...
So here's one way you realize you've learned something:
Mid-freshman year winter: I've learned Griffiths quantum and a course of abstract algebra and special relativity and E+M! I have the prerequisites to learn quantum field theory according to this author. Opens-QFT-book. Gets stuck on third...
As a little note, if you're having trouble with first-year physics classes, engineering will probably be just as hard. Sure, you could still get a more lucrative job, but the next few years probably won't be much fun. See if you can improve your study habits, maybe?
So, the process you've described is learning something really, really well and in depth and doing lots of problems...and then finding out that a year later that you don't remember any of it (without careful review). This is coming from an undergrad physics major, but I've done really well in...
I'm just here to rant a little...I'm an undergrad and working on a physics research project with a theoretical physics professor. I respect and trust my advisor's judgment with everything and would not considering trying to work with another professor at my university. She told me beforehand...
I'm using Rubakov - Classical Theory of Gauge Fields.
##S^2## is the 2-sphere in three-dimensional space. I was thinking - **if** I could prove that each element of SO(3)/SO(2) can be fully characterized by three real parameters such that their moduli sum to 1, then I could set up a one-to-one...
Homework Statement
Take the subgroup isomorphic to SO(2) in the group SO(3) to be the group of matrices of the form
\begin{pmatrix} g & & 0 \\ & & 0 \\ 0 & 0 & 1 \end{pmatrix}, g\in{}SO(2).
Show that there is a one-to-one correspondence between the coset space of SO(3) by this subgroup and...
Homework Statement
My question is just about a small mathematical detail, but I'll give some context anyways.
(From Rubakov Sec. 2.2)
An expression for energy is given by
E= \int{}d^3x\frac{\delta{}L}{\delta{}\dot{\phi}(\vec{x})}\dot{\phi}(\vec{x}) - L,
where L is the Lagrangian...
As an undergraduate, how do you know when your adviser actually intends for you to get work done and do something that might be publishable? I'm in a liberal arts college with low emphasis on research, so sometimes I have this paranoid feeling that my adviser doesn't actually care whether I even...
You must be incredibly smart to always be able to do math and physics problems in pen. D:
I try to, but it turns into a mess of big x's and scribbling.
I'm taking several physics/math courses this term, and I have no choice but to be writing constantly while taking notes and doing problem sets. My handwriting is very messy unless I grip my (mechanical) pencil tightly, and that ends up causing my wrist to start hurting (which has been a slight...
The only proof-based math class I've taken so far was on abstract algebra. Concepts were easy for me to understand, but I was constantly having trouble with some of the proofs.
I so frequently get this feeling that the last, tiny trivial step left in my proof is just "right there," and yet I...
I bought a book (Differential Geometry by Kreyszig) based on really good reviews because I'm planning to learn general relativity later. I guess I didn't pay enough attention to the description because apparently it's completely focused on "three-dimensional Euclidean space."
Will this book...
Take this as advice from someone who was extremely depressed during high school and thought exactly the same ideas you're expressing now -- Do your absolute best to get out of whatever environment you're in.
If you're 18 already, aren't you going to graduate from high school soon? At least for...
Homework Statement
Find the general solution of
u_{xx} + u = 6y,
in terms of arbitrary functions.
Homework Equations
The PDE has the homogeneous solution, u(x,y)=Acos(x)+Bsin(x) .
u_{xx} + u = 6y has the particular solution, u(x,y)=6y
The Attempt at a Solution
Taking a...
So take two fermions. Together, they can form a particle described by the wave function, ψ:
ψ=2^{-0.5}*(ψ_{a}(1)ψ_{b}(2)-ψ_{b}(1)ψ_{a}(2))..
What I need to do is show that this composite particle of two fermions is a boson.
I see how this is a simplified version of my original problem, but...
1. Is there any way to prove that the alpha particle is a boson (its total wave function is symmetric), given that it's made up of two protons (fermions) and two neutrons (fermions)?
Homework Equations
The total wave function for two identical particles that are
(bosons) ψ_tot = 1/√2 * (ψ_a...
Hi all,
So I have a seemingly trivial problem. I'm a freshman in college right now and I'm going to be talking to a professor about a possible research position. I'm honestly extremely interested in the research he's doing and I love physics and am completely devoted to it.
The problem is...