Recent content by Marioweee

  1. Marioweee

    Creating Schrödinger cat states with trapped ions

    I have already solved question number 1 by applying the schrödinger equation obtaining that $$\ket{\psi_2}(t) = \cos(\Omega t)\ket{g} - i \sin (\Omega t)\ket{s}$$ and therefore in ##t=\frac{\pi}{4\Omega}## $$\ket{\psi_2}(t) = \dfrac{1}{\sqrt{2}}(\ket{g} - i \ket{s})$$ I have some doubts...
  2. Marioweee

    Compton scattering with off-shell photon

    How is it treated or what Feymann's rule applies to a virtual photon in an external leg? I would like to calculate the modulus of squared amplitude for the process e-γ*→e-γ where the * indicates that the photon is virtual. I've never dealt with virtual particles on a external leg and would...
  3. Marioweee

    QFT: Normalization of coherent states

    What I have done is the following: \begin{equation} \braket{\eta_k | \eta_k}=|N|^2\sum_{n=0}^{\infty}\dfrac{1}{n!}\bra{0}(A^{\dagger})^nA^n\ket{0}=|N|^2\sum_{n=0}^{\infty}\dfrac{1}{n!}\int...
  4. Marioweee

    Nuclear shell model of double magic nucleus 132Sn

    The independent particle energies for protons and neutrons around the exotic doubly magic core 132Sn are shown in the figure below, where π refers to protons and ν to neutrons. Using the nuclear shell model and using this figure as a guide, answer to the following questions: a)Estimate Jπ...
  5. Marioweee

    Reparameterizing a curve in path length parameter

    Given the parameterization of an inverted cycloid: $$x(t)=r(t-\sin t)$$ $$y(t)=r(1+\cos t)$$ where $$t \in [0, 2\pi]$$. I am asked to parameterize the curve in its natural parameter. To do it: $$s=\int_{t_0}^{t} ||\vec{x}'(t*)||dt*$$ The modulus of the squared velocity is...
  6. Marioweee

    Exploring Spin Magnetization in Non-Ideal Systems

    We have a set of N spins arranged in one dimension that can take the values $$s_i=\pm 1$$. The Hamiltonian of the system is: $$H=-\frac{J}{2N}\sum_{i \neq j}^{N} s_i s_j -B\sum_{i=1}^{N}s_i.$$ where $$J>0$$, B is an external magnetic field, and the first sum runs through all the values of i and...
  7. Marioweee

    What is the focal point of a lens in a geometrical optics problem?

    If the first surface is treated as a spherical mirror then f=R/2. From this equation we can determine the value of R1. Then, from the Lensmarker's equation I could determine the focal length of the system, right?
  8. Marioweee

    What is the focal point of a lens in a geometrical optics problem?

    I have recently started with geometric optics and I do not quite understand what this problem asks of me. According to the statement, the focal point of the lens would be -25.5cm, right? That is, it is only a problem of concepts where it is not necessary to take into account the radii of the...
  9. Marioweee

    Probability of measuring an eigenstate of the operator L ^ 2

    Okey, I finally got the answer. Thanks for everyone's help, for my part I conclude this post.
  10. Marioweee

    Probability of measuring an eigenstate of the operator L ^ 2

    I've calculated N which is equal to ##\dfrac{15}{32\pi}##. Therefore, the probability of measuring ##L^2## greater than ##12h\hbar^2## would be: \begin{equation} P(L^2>12\hbar^2)=1-\dfrac{15}{32\pi}(|f_{1}^{-1}|^2+||f_{3}^{-1}|^2) \end{equation} Sorry for so many obvious questions but I am new...
  11. Marioweee

    Probability of measuring an eigenstate of the operator L ^ 2

    I had not even thought about it since the statement said that the function was already normalized but this must be the solution. Thank you very much, in a while I will try and if I have any questions I will comment. Again, thank you very much.
  12. Marioweee

    Probability of measuring an eigenstate of the operator L ^ 2

    This is what I have tried to express with equation 6. Anyways, thank you very much for your attention and for your help.
  13. Marioweee

    Probability of measuring an eigenstate of the operator L ^ 2

    Calculate, with a relevant digit, the probability that the measure of the angular momentum $L ^2$ of a particle whose normalized wave function is \begin{equation} \Psi(r,\theta,\varphi)=sin^2(\theta)e^{-i\varphi}f(r) \end{equation} is strictly greater than ##12(\hbar)^2##...
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