Recent content by MaestroBach

  1. M

    External Pressure vs. Internal Pressure when considering work

    1. True 2. I'm not quite sure what "the external pressure exerted by the inside face" means- does that mean the pressure that the internal gas exerts on the exterior? If so, I would say True but only in a reversible process.
  2. M

    External Pressure vs. Internal Pressure when considering work

    This makes a lot of sense, thanks a ton!
  3. M

    External Pressure vs. Internal Pressure when considering work

    Summary:: Basically the title: It seems that one of the formulas I use considers the pressure in PdV to be internal, when as far as I know, it is external. So to my understanding, in w = PdV, the pressure is the external pressure. However, I get tripped up because in my textbook, for a...
  4. M

    Finding Expression for Emitted Field: A Confused Student's Journey

    So I've gone and tried ##f(t) = Ce^{\frac{-t}{2\tau}}##, but that does not give me the correct answer. It actually comes close, but I get ##E^2## instead of ##(E - \hbar \omega_{21})^2## like my answer is supposed to be (correct answer in OP), which makes me suspect my electric field expression...
  5. M

    Finding Expression for Emitted Field: A Confused Student's Journey

    Fair enough. For some reason I thought there would be another term that also has some other kind of dependence, along with ##f(t) = C e^{-t/2 \tau}##. How in the world do I go about finding C though?
  6. M

    Finding Expression for Emitted Field: A Confused Student's Journey

    Yeah, it is: where eq 14.68 is what I have in the original post.
  7. M

    Finding Expression for Emitted Field: A Confused Student's Journey

    No, I'm being told to start by taking the Fourier transform of the emitted field, and as far as I'm understanding, I won't even be using the einstein coefficients. I'm being told to calculate the Fourier transform of the emitted field to find the frequency spectrum of the radiated power, and...
  8. M

    Finding Expression for Emitted Field: A Confused Student's Journey

    All I'm reallly confused on this problem is what the expression for the emitted field is. As long as I've got that, I'm good to go, but I just don't know what to use. I've tried looking for an expression for the emitted field but I've had no luck. Would appreciate any ideas or someone telling me...
  9. M

    Fermions, Bosons, and nonidentical particles in a 1-d oscillator

    Wow. I can't believe I missed that. Thanks a ton. So for this, would the wavefunction ##\psi_{nk}## just be ##\psi_{nk} = \psi_n(x_1)\psi_k(x_2)##? For distinguishable particles I don't even care about spin right? Just that they're distinguishable?
  10. M

    Fermions, Bosons, and nonidentical particles in a 1-d oscillator

    I'm having a hard time understanding how to treat fermions, bosons, and distinguishable particles differently for this problem. To the best of my understanding, I know that my overall state for bosons must be symmetric, and because they're spin-0, this means there's only one coupled spin state...
  11. M

    Studying the theory behind batteries

    These days I've taken an interest in lithium ion batteries and the like, but I don't really know where to go to start learning about them. I saw the general engineering sources and the materials/chemical engineering sources threads, but there was nothing specifically about batteries- Does anyone...
  12. M

    I De-dimensionalizing/rescaling units

    Really, really appreciate your help, thank you!
  13. M

    I De-dimensionalizing/rescaling units

    This made a ton of sense! Thank you so much! Couple questions: When you were redefining ##\hat{\Psi}##, where did the ##\hbar^{3/2}## come from? Also, given that I'm now using ##\hat{\vec{x}}##, does that mean that the units of my displacement are whatever my displacement units originally...
  14. M

    I De-dimensionalizing/rescaling units

    For context, something I'm doing is just solving schrodinger's equations for particles in boxes, but it's suggested that I set hbar = 1, in order to make numbers easier to handle/look at when plotting. However, I just don't get how setting hbar = 1 affects my other units/variables- I don't...
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