Casimir effect Definition and 103 Threads

Hello, could someone please explain to me what happens between (3.6) and (3.7). In specific, I don't understand how substitution results in l^2/pie^2 and also what do they mean integrating over radial angle. And the x next to the dx at (3.7), where did it come from...

Hello, I am attempting to repeat the math found on page 4 of this paper using the Euler-maclaurin summation formula. How would I incorporate the conversion factor because I can not figure it out for the life in me! Thank you! http://www.hep.caltech.edu/~phys199/lectures/lect5_6_cas.pdf

Hey, can anyone piont me to some online resources/books that will help me understand the Casimir effect. Thank you!

Firstly my knowledge of science is armchair tv level so any overly complicated explanations will be lost on me. What is going on it terms energy conservation with the casimir effect. As I understand it virtual particles created outside the plates have a greater range of wavelengths than...

Greetings! I would love to hear people's thoughts on the following: My (basic) understanding is that the Casimir Effect acts upon 2 closely spaced parallel conducting plates, because the photon pressure between the plates is less - only wavelengths which are multiples/divisors of the plate...

I know that the Casimir effect is a purely quantum mechanical phenomenon arising from the suppression of photons in the space between the plates and thus pushed together from the photons outside the plates. But just looking at a single cycle of the plates of the plates coming together, where...

Lately I've become rather obsessed with physics and in particular the casimir effect. I understand how it works, though I recently began wondering how this effect would act within a circular or a cylinder or something as such. Would it make the circle cave in, thus the sides touching? Would...

Just a crazy thought, does a massive body actually reduce baseline quantum fluctuations nearby (compared with the outer space which has much more baseline fluctuations), thus mimicking Casimir effect on a much larger scale and draws things towards a region having a reduced quantum fluctuations...

Hey forumers! I'm currently starting work on Casimir Effect. A simple, undergraduate level introductory book would be helpful here. Can you guys suggest anything that might suite my level? I do know classical electrodynamics & QM, but not in QED yet..

Hi For measuring the casimir effect in a experiment, two conducting plates are set up parallel to each other. As far as I know, in all experiments so far there was always a small electric current induced in both plates. So my question is: Why is this electric current necessary in such an...

I'm doing a project in thermodynamics and after seeing the movie "atlas shrugged" tryed determining a method to convert the casimir effect into usable energy. My system would have a rotating drum inside of a cylinder, with plates on the sides of the drum and the cylinder. The normal function...

*Disclaimer: I do not claim to be knowledgeable quantum mechanics past amateurism. I'm just interested in the topic.* I had a thought during Classical Mechanics Physics class two days ago on the nature of singularities in black holes. I realized-at least in my speculation-that singularities...

It has been proposed and demonstrated that two materials with dissimilar permittivities immersed in a fluid with a permittivity value in-between the two solid materials will result in a repulsive Casimir force generated between the surfaces of the solid materials. Why?

Let me begin by apologizing if this has been brought up before, but it has been on my mind recently, and I had to ask. Would it be possible to create a battery that can extract work from the casimir effect? I understand that the energy required to separate the plates is greater than the...

In the Casimir effect, there is a distance d between the plates where the effect is observable. Is this a threshold effect, so that for any non-zero distance \delta, the effect is not observable at d+\delta, or does this effect taper off? What does this depend on?

Okay. The Casimir Effect is supposedly the force which is applied by virtual particles on two plates in close proximity to each other, pushing them together. They say that because there is no electromagnetism being applied to the plates, they must be pushed together by virtual particles...

Hi, People have hypothesized that one could extract energy from the zero-point field using the Casimir effect by letting the two conducting plates move together and do some useful work. But surely to reset the system one needs to supply the same amount of work to separate the plates again...

for the Casimir effect to be observed, why must the opposing plates be conductors?

Would/should the mass of a particle measured between the two plates (typical casimir experiment setup) be different than measured outside the plates? If so would this be evidence of the Higgs field/mechanism?

Could Gravity be related to the Casimir Effect? Could atoms somehow interfere with the creation of virtual particle pairs such that in the space between any two atoms, there is less "pressure" and the atoms are forced together? Thanks to anyone who takes the time to read my question.

I know the question sounds a little bit noobish but If you place a CD on a clean glass table seems like the CD is floating. There's vacuum between the CD and the glass stopping you from picking it up yet the CD seems to be floating. If not I would like to know what other forces could be acting...

During lunch today a friend told me that two boats running parallel to one another can be attracted to each other by an effect similar to the Casimir effect. The water waves between the boats are quantized, and there winds up being slightly less pressure from between the boats than from...

Can the Casimir effect be used to enable a finite length Tipler cylinder to allow for CTCs? Stephen Hawking proved that a functioning Tipler cylinder could not be built unless it either (1) was infinitely long or (2) violated the weak energy condition, meaning that the region can contain no...

Ok, to begin with my background is in electronics -not physics or chemsitry, so please forgive me if I come across as uninformed on any subject. My question is in regards to the Casimir Effect and how it may be possible to use this as a source of polution free energy. My understanding of...

Can anyone tell me if the following argument correctly explains why the Casimir effect, as observed in experiments to date, can be explained by arguments that consider only the zero-point energy associated with the photon field, while ignoring other fields? Between two parallel, conducting...

Hello I am trying to work out the Casimir force via the Abel-Plana equation. I have been following the derivation in http://arxiv.org/abs/quant-ph/0106045. Specifically I can't figure out for the life of me how the author is going from the first part of equation 2.33 to the second part of...

Casimir effect -- silly question, but... The summation of the standing waves of virtual particles is calculated between the plates, so that you only have the harmonic series to sum over. Fine. However, what about non-virtual background radiation? Wouldn't only standing waves survive between the...

There is an argument to account for the Casimir effect based on cardinalities: that inside the two plates only (virtual) photons with wavelengths corresponding to the harmonic series can exist, hence countable infinity, whereas photons of all wavelengths can exist in the space around it, hence...

What exactly is the Casimir Effect? Could somebody explain the basics?

Can anyone explain the casimir effect to me? I've only just got back to reading parallel worlds and it's mentioned quite alot, yet i have no idea what it is. Though i think it may have something to do with vacuum energy.

does the casimir effect occur in space?

As I understand it, the Casimir effect is due to the quantized field, and can only be described with QED. Also, van der Waals forces are supposedly a result of the Casimir effect. Here's what I don't understand. Supposedly, an accurate solution to the Schrödinger equation - without a...

Casimir force increases when you put 2 plates closer and closer... But where is a limit? Obviously, Casimir calculations will not be valid when distance becomes less then a size of one atom. But I suspect that all these calculations break apart much earlier. Your thoughts?

Casimir says that there is a force between two neutral metal plates when they are close..suppose if we replace the metal plates with insulators,will there be the same casimir force? what is the difference? why casimir used metal plates,he could have used insulator also?i think insulator is also...

Wikipedia says that the Casimir effect is attractive, and that the equation for calculating the force per unit area between two electrically neutral plates is: F/A=-(d/da)(<E>/A) "a" is the distance between the plates. So if the plates are moved closer together, the change in energy over...

Just a general question, can cooper pairs be explained using the casimir effect?

I still do not understand the Casimir effect, more precisely what causes this. In the usual example of a parallel square plate kept very close to each other in vacuum, the plates feel an attractive force. This is a purely quantum field theoretic effect. My doubts are: 1. It is said that in...

Hey folk, I'm not sure if this would be more approproate in the Calculus section because I think the anser probably involves Fourier transforms. My understanding of the Casimir effect is that only standing waves can form between the two plates, and thus the energy looks something like...

See here.

Typically the CE is introduced as an alteration of the vacuum expectation value of the EM field. Usually papers which calculate the force use this EM field model. My question: The zero point energy should be a superposition of contributions from all field ground states, eg not just the EM...

Hi, Could somebody explain the flaw in the following free-energy situation? (Apologies for bad ASCII art - # represents empty space) (1) I set up two reflecting plates a short distance apart, and allow them to gain velocity towards each other, due to the Casimir effect...

I just heard about the Casimir effect: http://en.wikipedia.org/wiki/Kashmir_effect Is this for real? Or is it just speculation? If it's real, then how in the name of science does it fit into the four fundamental forces?! http://hyperphysics.phy-astr.gsu.edu/hbase/forces/funfor.html I...

I'm currently doing a coursework in A2 Physics, on Zero Point Energy, and Casimir effect, and why doesn't Helium freeze at atmospheric pressure within micro-degrees of absolute zero. I've researched and I found out that only ZPE can account for the source of energy that prevents helium from...

Imagine you have two plates which can either be perfectly conducting or perfectly insulating by changing some conditions (like say, cooling an insulator down until it is superconducting). First, have the two plates be superconducting, and bring them close together so the Casimir effect is...

can a wormhole be sustained by the emitions from the casimir effect and what would be the proposed setup of the whole device

I thought this the right place to post this, from the little i can understand it seems interesting. http://arxiv.org/abs/astro-ph/0604265 Casimir Effect confronts Cosmological Constant Authors: Gaurang Mahajan, Sudipta Sarkar, T. Padmanabhan Comments: revtex4; four pages; 5 figs It has...

Ummm...I don't know if this is the best section for this... but... it is said that a negetive energy can be created through the quantum theory via the Casimir Effect. Here is what I know as fact. In 1948, a Dutch physicist known as Henrik Casimir discovered how this negative energy can be...

I really need your help. Is there in the green field only place for one electromagnetic "oscillator" in ground state (the red one)? (Because these oscillators have to be at an angle of 90 degrees on the walls). I think this cannot be true.

Articles on the Casimir effect do not mention any relationship between gravity and the Casimir effect although an article on (http://physicsweb.org/articles/world/15/9/6) does mention ongoing experiments using different materials to neutralize the local gravity. I have come across a...

I read about the Casimir effect right away, and the first thing that came to me was a question. If quantum fluctuations can in empty space can move two completely uncharged metal plates at small distances, then wouldn't that give the potential for a perpetual motion machine? I realize...