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...
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...
1. 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].
2. Homework Equations
The definition of uniform convergence.
3. The Attempt at a...
1. Homework Statement
Wavefunction is of form:
ψ(x) = eikx
Find momentum and energy of this state.
2. 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
3. The Attempt at...