Recent content by Franky4

I have a question about Baker–Campbell–Hausdorff identity in QM: exp(X)*exp(Y) = exp(X + Y + [X,Y]/2) I have exp(X + Y) where X and Y don't commute and want to try to write in multiplication form. Tried adding and subtracting commutator term: exp(X + Y + [X,Y]/2 - [X,Y]/2), but now I am not sure...

Homework Statement I am asked to find r(t) for a charged q particle in an magnetic undulator. Wrote down these equations: x'' = w* y' *cos(a*x) (1) y'' = -w* x' *cos(a*x) (2) z'' = 0 (3) r(0) = (x0, y0, z0); r(0)' = (x0', y0', z0'). Homework Equations Not sure how to go on solving these...

I calculated eigenvalues and eigenvectors of the Hessian matrix where F(x1,x2,x3,y1,y2,y3) { (xi, yi) being a pair of coordinates of the partcile} is a total potential energy of the system. I am asked to create a visual of different mode eigenvectors, but they are 6 dimensional, how am I to do...

Thanks. I had a talk with my teacher and told me to read up about Hessian matrix.

Homework Statement I was given a task to model (using Matlab) 3 identical particles in external field and find spectra of lowest system energy states using gradient descend method for each particle in the system. I did a run of 500 random generated coordinates and found this distribution...