Hello! I'm trying to plot some eigenfunctions (for a semicircle) in Mathematica. Functions are of the following form:
$$g_{ms}=J_{2m+1}(y_{ms}x) sin ((2m+1)\varphi)$$
For example, for m=0 and s=1 it should look like what I drew in the attached file "Snapshot". Well, I don't have much experience...
Hello,
I'm trying to plot some functions with different parameters on the same graph. For each one I have to calculate some parameters from a matrix A. I need to plot this for several matrices A, so I'd like to be able to just copy-paste the new elements in the matrix A, rather than writing them...
I filled a matrix nxn with E0n = n + 1/2 as diagonal elements, then, for one of the methods, I calculated q^4 matrix elements as qij =0.5* sqrt(i + j + 1)* δ|i−j|,1
edit: As for eigenfunctions of unperturbed eigenstates, they are given in theoretical introduction to the task as...
I don't know what you mean, please explain. The task was to find the perturbed eigen-everything using 3 different methods for calculating the perturbation's matrix elements qij . Then I have to plot them, compare for different lambdas, etc. I wrote an algorithm using tqli and tred2 from...
Yes, but now I need to plot eigenfunctions for n=0, n=1, etc for the perturbed states and I have no idea how to get them. I'm sure it's something simple, I really can't remember how to do that.
Homework Statement
Find eigenvalues and eigenvectors of a perturbed harmonic oscillator (H=H0+lambda*q4 numerically using different numerical methods and plot perturbed eigenfunctions. I wrote a code in c++ which returns a row of eigenvalues of the perturbed matrix H and a matrix of...
Hello! I have a problem in classical mechanics that I'm unable to solve. Any help would be much appreciated since we have a partial exam tomorrow. :(
Homework Statement
There's a picture of the problem in the attachment
A mass m, which is on a light rod (lenght d), is attached to a...
Homework Statement
In a gravitational detector we put a mass of 10^4 kg onto four rods, which are located at the angles of a square. The rods are 25 cm high with S = 3cm^2, two of them are made of copper, two of steele and they are situated on opposite sides. The top surfaces of rods are...
(Matlab) How to find inverse using "eig"
I'm doing a project for Numerical Methods and one of the questions is how to find an inverse of a (random) matrix using Matlab function 'eig'. I know the solution is probably simple, but I almost never used Matlab before, besides, lectures were horrible...
Check out CERN's Summer Student Programme https://ert.cern.ch/browse_www/wd_pds?p_web_site_id=1&p_web_page_id=5836&p_no_apply=Y&p_show=N Poland is a member state, which makes it more likey you'll get accepted. I know their primary branch of interest is particle physics, detectors, etc., but...
Statistical Thermodynamics - Help Wanted :(
(My translation skills sucks, I hope it is understandable.)
Three spins, placed at vertices of an equilateral triangle, are put in the external magnetic field with density B. Hamiltonian of the system:
H = -J \sum_{<i,j>} s_{i} s_{j} - \gamma...
Homework Statement
There's a radioactive isotope placed inside an iron sphere (R=2cm), which acts as a source of constant heat (P=1W). The isotope is uniformly distributed over a very thin spherical layer (r=1cm). How much higher is temperature in the center of the sphere compared to...