I still believe we should hear from the OP about the level of explanations he/she is expecting. If, as I'm guessing, that is at best freshman-level, then a discussion around the original expression of a photon's energy ##h\nu## should suffice, and so all the previous posts as well.
Otherwise...
That higher frequency presumably refers to the energy of the photons as acquired by them on the source; not to the rate of the photons emitted by the source. That rate of emission is the intensity of the source and depends on the latter's physical/chemical characteristics, don't you think? Or am...
On a second thought, though, since you give no clue about the level of your source, one may propose that with higher energy, more electrons can overcome the surface barrier, collectively described by the ##\phi## potential.
We cannot expect photoemission to occur on identical orbitals (shells) only. Although you mention nothing about metal substrate, increasing the frequency may allow emissions from deeper subshells. That’s too generic an assumption, as more info is needed.
I am running both, admittedly as VMs on Parallels, under the same host specs. The two Windows' behavior is roughly the same regarding apps like Matlab or Photoshop. What I do dislike about 10, though, is the childish desktop popups of "info" squares I have never asked for. Windows 11 is more...
Or this one (there are other two; the whole course is a three-quarter undergraduate-level course; all lectures are with videos, etc.):
https://ocw.mit.edu/courses/8-04-quantum-physics-i-spring-2016/
It's good to discuss textbooks on QM with a sincere person. Anyway, you probably need a rather short, yet accurate account of QM at an introductory level. Much to the surprise of many members here, I would then suggest Dicke & Wittke's "Introduction to Quantum Mechanics," Addison-Wesley...
Since you've got a degree in math, why don't you try a text on QM written specifically for mathematicians? You might find the approach more interesting.
I run a MP 6,1 (2013) and it always works with one of its twin video cards. Internet search offers no clues as to what apps can use both. Any advice would be appreciated.
I guess you can use various tricks, like assuming your row vector is the first row of a 3X3 matrix with zeros in the other places, or that the matrix on the left is made up of three “independent” column vectors, etc. However, you have to ask yourself what mathematical or physical objects do I...