Recent content by function22

Hello, If I have an MSc degree in mathematics specializing in machine learning, is it possible to enter a PhD program in computer science (also specializing in machine learning)? Will the fact that my degree is in mathematics and not computer science prevent me from doing that? I have heard of...

Like the Pauli matricies Sx, Sy, Sz, I know the eigenvalues/eigenvectors, but what are the eigenfunctions? I have no idea what they could be.

What are the eigenfunctions of the spin operators? I know the spin operators are given by Pauli matricies (https://en.wikipedia.org/wiki/Spin_operator#Mathematical_formulation_of_spin), and I know what the eigenvalues are (and the eigenvectors), but I have no idea what the eigenfunctions of the...

Homework Statement Let f_n(x) be a sequence of functions that converges uniformly to f(x) on the interval [0, 1]. Show that the sequence e^{f_n(x)} also converges uniformly to e^{f(x)} on [0,1]. Homework Equations The definition of uniform convergence. The Attempt at a Solution I...

Homework Statement Wavefunction is of form: ψ(x) = eikx Find momentum and energy of this state. Homework Equations Fourier transform of ψ(x) to get to momentum space or is it <p> = integral from -infinity to infinity of ψ* (h/i) * derivative wrt x of ψ dx The Attempt at a Solution...