Recent content by Jilvin

  1. J

    Question About State Collapse and Energy Measurements in Infinite Well

    Thanks for the response, that was more complicated than I thought! So, if a measurement is classifiable as non-destructive, then it will not return to a superposition of states? This answer is the one that makes intuitive sense to me at my current level of understanding. Because Griffiths, in...
  2. J

    Question About State Collapse and Energy Measurements in Infinite Well

    I am just starting out in self-study for quantum theory, so forgive me if my question seems elementary or completely misguided. In quantum mechanics, every wave function ψ can be decomposed into a linear combination of basis functions in the following manner: \Psi = \Sigma{c_{n}\Psi_{n}}...
  3. J

    Find Period of Oscillation for Pulley on Spring - Light & Matter

    Yeah, that's what I was thinking because one of the problems is in a similar flavor. Finding the increment in y compared to the increment in the spring displacement is exactly what I am looking for. I'm totally at a dead end with this.
  4. J

    Find Period of Oscillation for Pulley on Spring - Light & Matter

    Okay, here's my approach: I have to find the potential energy of the spring *with respect* to the object that is oscillating, which is the mass on a pulley. I think the previous user may have solved for the simple case of a mass on a vertical spring. The mass is also on a *pulley*, and...
  5. J

    Find Period of Oscillation for Pulley on Spring - Light & Matter

    Homework Statement A pulley containing only a single mass, m, is hanging vertically from a mass with spring constant k. Find the period of vertical oscillation for the mass. Explanation in terms of energy and energy conservation is preferred.Homework Equations Ay, there's the rub. You are...
  6. J

    Interpretation of Light Beam Intensity in QM

    Nevermind, I think I've got it now. The intensity uncertainty is only valid for *large* photon numbers. Here's what I mean. In the study of squeezed light, the uncertainty ΔIΔη≥\hbar/2 is important (where I is the intensity and η is the phase). I couldn't comprehend just what ΔI...
  7. J

    Interpretation of Light Beam Intensity in QM

    I am starting to become confused when reading about quantum mechanics and its treatment of photons. I heard somewhere (I can't recall where) that the characteristic intensity of a photon beam was give by I = E/\omega, where \omega is the angular frequency of the beam. However, I can't seem to...
  8. J

    Can't Solve the Relativity Problem: Seeking Help

    Thank you. I am slightly familiar with four-vectors but i'll need some touching up. However, I am willing to do this so this reference is satisfactory for now. OFF TOPIC: I used you calculus book for self-study last year by the way. I only looked at it for 2 months prior to the AP Calc AB...
  9. J

    Can't Solve the Relativity Problem: Seeking Help

    I was reading C. Schiller's text on relativity and he gives an expression for the ratio frequencies of two observers (one a sender and one a receiver). *[Oh, and if you think that my description of the problem is unclear, I am talking about the expression on page 30 of the Motion Mountain...
  10. J

    How to prove if f(x) is infinitely differentiable

    Here's what I would do: 1. Every polynomial of degree n can be differentiated (n+1) times before vanishing (it is n+1 times differentiable). 2. Thus, an infinite order polynomial is infinitely differentiable. 3. The power series expansion of ln x is of infinite degree. This expansion absorbs...
  11. J

    Is Theoretical Physics Progress Stagnating?

    Actually, a negative result for a Higgs particle at the LHC would be a monumental revelation, somewhat akin to the null result for the luminiferous ether by the Michelson interferometer in the 19th century. Don't quit just because it might be a daunting task to progress the field.
  12. J

    Most Frustrating, Embarrassing Brain Farts

    I was asking you all for your personal worst brain farts, but posting complete nonsense is also fine I guess.
  13. J

    Most Frustrating, Embarrassing Brain Farts

    I am a "physics guru", at least at my high school's level (which isn't really anything at all). I know several advanced integration techniques, linear algebra, and fairly advanced methods for solving differential equations. Even with all of this mathematics background, I still have not taken...
  14. J

    My Academic Achievements - No Quotes Here

    I got: AP US History - 5 AP Biology- 4 (a very welcome surprise) AP Calculus AB - 4 (a very, very nice surprise considering I opened a calc book for the first time on February 2nd, wasn't in the class at my HS, and I was only one of two juniors taking it at my school) Next year I hope to...
  15. J

    Woes With the Principle of Least Action.

    Thank you! That cleared up some weird things. Apparently (according to a close friend I contacted) Feynman has written an excellent summary on this in Chapter 19 of Volume II of his Caltech lectures, so I'll pick that up from my friend tomorrow at school and hopefully the topic will fully...
Back
Top