Recent content by proton4ik

  1. P

    Quadrature distribution for an optical mode in the coherent state

    I think that q is a generalized coordinate
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    Quadrature distribution for an optical mode in the coherent state

    Hey there, the task I'm working on is written below. Find the quadrature distribution ρ(q), for an optical mode being in the coherent state |α>. Hint: use ∑Hn(x)*(t^n)/(n!) I really am struggling with this type of tasks :D I tried to follow a solved example that I found in my workbook, but...
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    Why can't values of M for J=2 contain values of M for J=1 in np2 configuration?

    Thank you very much for your answer! But still I have a very stupid question left. Why can't values of M for J=2 contain values of M for J=1? What are the properties of M, J that don't allow this?
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    Why can't values of M for J=2 contain values of M for J=1 in np2 configuration?

    Hello everyone! I'm trying to understand how to determine states within the different configuration Homework Statement The question is, why we don't consider Max M=1 -> J=1 while identifying the states for np2 configuration? (http://www.nat.vu.nl/~wimu/JJCoup.html) Homework EquationsThe...
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    Finding Probability Density Functions for Independent Random Variables

    Homework Statement Hello! I'm trying to understand how to solve the following type of problems. 1) Random variables x and y are independent and uniformly distributed on the interval [0; a]. Find probability density function of a random variable z=x-y. 2) Exponentially distributed (p=exp(-x)...
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    Construct the Lagrangian for the system

    To the left end of the rod
  7. P

    Construct the Lagrangian for the system

    Your interpretation seems reasonable. Wouldn't Lagrangian look the same as I wrote in the question considering this interpretation?
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    Construct the Lagrangian for the system

    You're right. In this case, I guess there's only rotational motion. But how to find the potential energy of the system then? ##\varphi## is probably a free variable.
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    Construct the Lagrangian for the system

    Yes, I think so. I also suppose that it's moving back and forth so the z-coordinate is changing.
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    Construct the Lagrangian for the system

    I think the axis of rotation is shown on the picture (in the centre of the system). It doesn't change itself. And the angular velocity is $$\dot {\varphi}$$. Yes, of course, I think that wires should stay parallel to one another.
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    Construct the Lagrangian for the system

    Yes, of course, I already stated my interpretation :) Here it is: I suppose that it's a rod (L, M) suspended from two wires (l). There's probably a particle with charge q on the rod. And the system is rotating so the axis of rotation stays parallel to the wires.
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    Construct the Lagrangian for the system

    It's just an example of the exercise from the final exam. There are hundreds of similar pictures with the the same task in the examples.
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    Construct the Lagrangian for the system

    No, there's no description at all except for what's on the picture. I suppose that it's a rod (L, M) suspended from two wires (l). There's probably a particle with charge q on the rod. And the system is rotating so the axis of rotation stays parallel to the wires.
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    Construct the Lagrangian for the system

    Construct Lagrangian and Lagrange's equations of the second kind for the given mechanical system. Are the equations integrable by quadratures? If yes, find the quadratures. Unfortunately, there is no verbal description of the system.. (
  15. P

    Construct the Lagrangian for the system

    Homework Statement Hello! I have some problems with constructing Lagrangian for the given system: (Attached files) Homework Equations The answer should be given in the following form: L=T-U=... The Attempt at a Solution I tried to construct the Lagrangian, but I'm not sure if I did it...
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