Many students start their first semester with calc 1 or calc 2. Beginning with DiffEq, and presumably having similarly alrleady completed other core courses, is a pretty large advantage. Not only does it allow for the lighter courseload you mentioned or the option of progressing further with...
I see. I did not realize \\ was standard LaTex for a newline, nor that it was the actual reason the alignment formatting was singly spaced. That's also interesting double $ in a paragraph eliminates spacing before and after; I understood from the tutorial to only use double $ in a separate line...
In the LaTex help page:
https://www.physicsforums.com/help/latexhelp/
the 2nd section, "Delimiting your LaTex code," formats the LaTex equations into a blue box. An advantage of this box is that line spacing before, between, and after $$ delimiters is single-spaced. Otherwise, you end up with...
I am trying to solve for the uncertainty in energy ##\Delta E## in the following exercise:
$$\Delta E = \sqrt{\langle \Phi | (\hat H - \bar E )^2 | \Phi \rangle}$$
Questions
What does ##(\hat H - \bar E )^2## mean? Is it a simple binomial expansion into ##\hat H^2 - 2 \bar E \hat H + \bar...
In my introduction to quantum mechanics, I learned about the particle in a box, followed by the quantum harmonic oscillator. In both instances, zero energy was not possible; the ground states had non-zero energy.
However, in deriving the solutions to the Schrödinger equation for a particle on a...
Thank you very much for the responses. They all contributed in some way. The FSU link was also helpful for distilling the background I knew and providing some perspective on what I didn't know.
After further looking around, I came to a few conclusions. A lot of it is superfluous information to...
Looking for a practical description. I have a feeling I am grossly misunderstanding something fundamental about electric circuits and apologize if my questions are confusing because of it. I have these two sources:
acs
hyperphysics
My (probably naive) understanding of the process is as...
Thank you for the quick replies
By docking door center you mean the center of the ring?
What is the mechanism by which a torque in the x,y plane can accelerate something in the z direction?
Hi, I'm having a discussion with someone on the plausibility of the physics in a science fiction movie (I know, very efficient use of time!). There's a scene with a space station shaped like a ring. It has a center body that is attached radially to one edge of the ring. This space station is...
Hi DrClaude. Thanks for your response and the link. Maybe it was implied I had to look up the lifetime. 3 questions, if you have time, since I am having trouble wrapping my head around it conceptually:
1.Hyperphysics provides a relationship of:
2E = Gamma = (reduced plank constant /...
Hi, I am trying to understand how one determines the natural linewidth. On my assignment, I am only given an energy (589.1 nm transition in sodium). I have two sources that I have found that seem to contradict each other:
Source 1: Slides 5 and 6
Source 2: Hyperphysics
If I plug in...
When we say the frequency of electromagnetic radiation, how can we conceptualize this property's manifestation in photons?
Are the photons oscillating in space with the corresponding frequency? If yes, would this oscillation be parallel, perpendicular, or something else with respect to the...