Recent content by Marioweee

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...

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...

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...

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...

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...

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...

Thank you very much for your help

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?

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...

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

Yes, you are right, that's ##N^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...

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.

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

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##...