Recent content by BeyondBelief96

  1. BeyondBelief96

    C# Open Source C# Physics Library

    This is awesome. I am currently learning C# for the purposes of modelling physics. I am an undergraduate about to graduate with a degree in physics who unfortunately didn't get much programming experience in school. So I'm a late bloomer but I am working through courses on C# at the moment and...
  2. BeyondBelief96

    I Use of the Beam Splitter Operator

    I had written a post but the format got messed up after posting it for some reason. So I had to delete it and since I am at work did not have time to rewrite the text. I will look into the reference.
  3. BeyondBelief96

    I Use of the Beam Splitter Operator

    If you would like to see my work so far, I have a LaTeX file and I can send you the file in a PM if you would like to look carefully at my work.
  4. BeyondBelief96

    I Use of the Beam Splitter Operator

    Hello, I am a senior undergrad doing research in quantum optics, and I am trying to work out at the moment the output state of sending a coherent state through one input port and a squeezed vacuum state through the other, just to see what happens tbh. The problem I have constantly been running...
  5. BeyondBelief96

    Beam Splitter Inputs and Commutting Modes

    My thinking so far is that if the two different input mode operators of a beam splitter commute, but I can't really give any good reasoning behind it. I defined ##\hat{A} = \frac{i\pi}{4}\hat{a}_0^{\dagger}\hat{a}_1 ## and ##\hat{C} = \frac{-i\pi}{4}\hat{a}_0\hat{a}_1^{\dagger} ## and am...
  6. BeyondBelief96

    A Two Different Fock State Inputs into a Beam Splitter

    Hello everyone, I am an undergraduate doing research in quantum optics, and my topic involves 50:50 beam splitters and studying entanglement for different input states. I came across a paper which I am using as a guide for now, but I wanted to derive a result they had and have been working on it...
  7. BeyondBelief96

    2nd Order Non-Degenerate TI Perturbation Theory Corrections

    Homework Statement Show that the 2nd order nondegenerate perturbation theory corrections are given by: ##E_n^2 = \sum_{k \neq n}^{\infty} \frac{|\left < \phi_n | \hat{H} | \phi_k \right> |^2}{E_n^0 - E_k^0}##[/B] and ## C_{nm}^2 = \frac{C_{nm}^1 E_n^1 - \sum_{k \neq n}^{\infty} C_{nk}^1...
  8. BeyondBelief96

    How Do Three Spin-1/2 Particles Combine to Form States with Total Spin 3/2?

    I feel as if there's something fundamental connection I'm not seeing. I'm assuming ## \left | +z, +z, +z\right> ## is an eigenstate, sort of like how ## \left | \pm{z}, \pm{z} \right > ## were eigen states of two interacting particles? So we make the assumption that it would follow the same...
  9. BeyondBelief96

    How Do Three Spin-1/2 Particles Combine to Form States with Total Spin 3/2?

    Okay, so I did so and got ##(\hat{S}_1 + \hat{S}_2 + \hat{S}_3)\left | \frac{1}{2}, \frac{1}{2}, \frac{1}{2} \right > = \hbar (\left | -z, +z, +z \right > , \left | +z, -z, +z \right >, \left | +z, +z, -z \right >## following the example from the book, only how do I express this state in terms...
  10. BeyondBelief96

    How Do Three Spin-1/2 Particles Combine to Form States with Total Spin 3/2?

    Also, sorry, I'm new to posting here, and I thought it would be able to read LaTeX since I've seen others use it, but I must be doing something wrong, I hope you can read the equations okay.
  11. BeyondBelief96

    How Do Three Spin-1/2 Particles Combine to Form States with Total Spin 3/2?

    Homework Statement Determine the four states with ##s = \frac{3}{2}## that can be formed by three spin ##\frac{1}{2}## particles. Suggestion: Start with the state ##\ket{\frac{3}{2}, \frac{3}{2}}## and apply the lowering operator. [/B]Homework Equations $$S^{2}\ket{s, m} = \hbar^2...
  12. BeyondBelief96

    What Angle Causes Particles A and B to Collide?

    NEW oh okay, that makes sense! So once I've solved for t^2 just square root it for t, and then plug it into one of my original equations then solve for theta?
  13. BeyondBelief96

    What Angle Causes Particles A and B to Collide?

    Homework Statement A particle A moves along the line y = d (30 m) with a constant velocity (v= 3.0 m/s) directed parallel to the positive x-axis (Fig. 4-40). A second particle B starts at the origin with zero speed and constant acceleration (a = 0.40 m/s2) at the same instant that particle A...
  14. BeyondBelief96

    David Morin's Rope around a Pole example

    Ahh! so i cut the big arc in half with a radius of r, making two right triangles with each having a small angle of d(theta)/2 and drawing out the triangles from the sides with the tensions, it's a similar triangle with those and comparing angles we can say its the same?
  15. BeyondBelief96

    David Morin's Rope around a Pole example

    1. A rope wraps an angle θ around a pole. You grab one end and pull with a tension T0. The other end is attached to a large object, say, a boat. If the coefficient of static friction between the rope and the pole is µ, what is the largest force the rope can exert on the boat, if the rope is to...
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