Recent content by Mainframes

I am happy to also investigate the case where the plates are approximately infinite (at least to check if the form of the infinite sum I posted earlier is correct). I have been doing some reading based on all the insightful comments here which has helped - thank you.

Here is a simpler question that will still help me. Imagine I have a single positively charged particle between two conductor plates. Each conductor plate is square and the particle is constrained to move between the two plates (if the particle was touching one of the plates it would be at the...

This is a fair comment. Perhaps it would have been more accurate to say a 3-D model where I am interested in resolving the force in 1-D only.

Thanks, I am sure any misunderstanding will be on my part. I will look into your method (any reading or tips would be appreciated). One reason why the Method of Images solution (well images of images) was appealing is that I am looking at a 1-dimensional toy-model. If I can give a formulaic...

Sincere apologies but I am still unclear of what is happening (though the infinite summ converging is clear). It appears my previous post was incorrect where I was assuming the induced charge on the plate would induce extra charge on the opposing plate and so forth. I'm trying to understand...

Thank you for this reply and I believe I have understood your point. Am I correct you are saying that the force on each plate is corrected by adding an additional term of the form (see attached image) $$\sum_{i=1}^{\infty}\frac{kQ_i}{[(i+1)L]^2}$$ Here ##Q_i## is the induced charge from the...

Thank you for the reply and makes sense (I will rule out method of images). So am I correct that you agree the conductor plates will indeed feel a force from each other (given the induced charges from the particles)? And that in order to calculate this I will need to do some more detailed...

Im assuming you’re not suggesting that is the answer for the force is infinite (unless I’ve misunderstood)? Do you know if there is a force and how it is calculated or if it is zero by some argument? Appreciate the guidance

Hi, I would very much appreciate some guidance on the below. Consider a one-dimensional world as depicted in the attached figure. We have two (lets say positively charged particles enclosed by two conductor plates. One plate is at ##x=0##, the other at ##x=L##. The particles are at ##x_1## and...

This is brilliant. Thank you so much for this (it has certainly Demystified the result to me)

Thank you very much for your reply. I did try using those relationships (and I understand why they are true), however, I still could not get the algebra to work. Furthermore, in equation (1.3) of the below extract frrom \citep{PhysRevA.89.042116}, I cannot even see how the ##\epsilon^2## term...

Hi, I'm trying to follow the derivation of the Zeno time from two sources and am struggling. I think I'm missing some sort of algebraic trick and any tips would be appreciated. A bit more detail below. In the attached paper \citep{Facchi_2008}, the Zeno time (equation (6)) is derived from...

I'm currently exploring a theoretical concept. My research leads me to a hypothetical method leads to what I believe is an interesting result: It is theoretically possible to fuse two ions for an energy cost that is less than the expected energy of bringing the ions closer together. Note, this...

Thank you for the feedback, so I understand you would have a slightly negative view of it. Of course, it is likely my work is not of much significance either in which case it is still a potentially a valid route, unless you are advising me to stay well clear of it?

Thank you for the reply. 32 references in total split across the below. I added 6 references recently following advice, and also formatted it into the APS following his advice to make it look more professional. I am not sure how much this helps, but I know presentation is important. Online /...