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  1. Q

    Stuck in a very numerical-based project....Frustrated.

    I hope so. We're a couple weeks into the project. Maybe it'll get more fun.
  2. Q

    My approach to physics seems pointless.

    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...
  3. Q

    Stuck in a very numerical-based project....Frustrated.

    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...
  4. Q

    My approach to physics seems pointless.

    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...
  5. Q

    Is it pointless to pursue Math or Physics if you are stuck in an area of grade?

    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?
  6. Q

    My approach to physics seems pointless.

    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...
  7. Q

    Stuck in a very numerical-based project....Frustrated.

    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...
  8. Q

    Prove: SO(3)/SO(2)=S^2

    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...
  9. Q

    Prove: SO(3)/SO(2)=S^2

    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...
  10. Q

    Energy of Scalar Field

    Ah, that would make a lot of sense (and fix the weird unit problem). Maybe there's a tiny typo in the text.
  11. Q

    Energy of Scalar Field

    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...
  12. Q

    How to know if research project is going anywhere?

    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...
  13. Q

    Wrist Pain from Writing Constantly

    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.
  14. Q

    Wrist Pain from Writing Constantly

    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...
  15. Q

    Why do I just not "get" math proofs?

    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...
  16. Q

    Differential Geometry book on 3D Euclidn space - worth reading?

    Okay, awesome. I guess I'll get to work on it. Thanks!
  17. Q

    Differential Geometry book on 3D Euclidn space - worth reading?

    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...
  18. Q

    Suicide,it doesn't get better,or does it ?

    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...
  19. Q

    Simple PDE: general solution?

    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...
  20. Q

    Proving that an alpha particle is a boson

    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...
  21. Q

    Proving that an alpha particle is a boson

    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...
  22. Q

    Why am I interested in physics?

    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...
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