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Questions tagged [casimir-effect]

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Casimir effect: where did the pressure come from?

From my understanding of Casimir effect, there exists a difference in energy between plates and that of the outside environment. How did this translate to a pressure difference and eventually where ...
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Casimir Force and Electric Field?

I found the wiki article a bit misleading because I took $<\mathbf{E}>$ as an electric field... the equation in question is $$\frac{F}{A} = -\frac{d}{da} \frac{<\mathbf{E}>}{A} = - \frac{\...
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Vacuum energy length scale detectable by Casimir effect?

According to Sean Carroll's The Cosmological constant (Eqn.20) cosmological observations imply that the magnitude of the vacuum energy density in natural units is given by $$|\rho^{(obs)}_\Lambda|\le (...
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Casimir effect - gravitational influence?

Regarding the Casimir effect, is gravitational attraction too weak in order to explain the attraction between the plates?
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Casimir effect in the double slit experiment

Has anyone to your knowledge, ever detected, or perhaps just tried to detect, a Casimir effect between the plate (with the slits) and the screen behind in the double slit experiment?
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Laser-induced vacuum conductivity in a flat region

Suppose a laser field is engineered such that it is focused with enough intensity $I(k_x, k_y, k_z)$ in an almost bidimensional region of shape $\Delta_x \times \Delta_y \times h_z$ with $h_z \lt\lt \...
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Arranging coefficients in a derivation of the Casimir energy

I'm working on the derivation of the Casimir energy from quantum field theory. From the K-G equation (with $c=1$ and $\hbar=1)$ I found the vacuum energy: $$\langle 0|H|0\rangle=E_{vac}=V\int_{-\...
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Repulsive Casimir Lifshitz force experiments

There is an experiment published 2014, measuring the theoretically predicted Casimir-Lifshitz force: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4169270/ As often the case for measuring the Casimir ...
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Casimir effect - constraint of wave length on photons and virtual photons

In Casimir effect, I would like to know, maybe from Quantum Field Theory, why the photons (and virtual photons) have to check the relation $L=n\lambda\,$ with $n>0$ to be considered as present ...
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How is Casimir effect related to String theory?

I'm looking at the Casimir effect calculation. As I understand it, it says that because wavelengths can only take on discrete values between two sheets there is a difference in the energy of the ...
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Is zero-point energy real?

In the context of canonical quantization, the ground state/zero-point energy of a harmonic oscillator is $$ E_0 = \frac{1}{2}\hbar \omega. $$ The vacuum is alleged to be permeated with this zero-point ...
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Dynamical Casimir Effect in expanding space?

The Dynamical Casimir Effect is the production of real photons from the vacuum in a system where one has moving mirrors. The frequency of the photons is related to the ratio of the velocity v of the ...
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How is the dynamic Casimir effect different from normal radiation from accelerating charges?

The Casimir effect involves two parallel conducting plates very close to each other. The static Casimir effect consists in an attractive force between the two plates, explained by the spatial ...
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Calculating the Casimir force in 1+1 dimensions for a real scalar field

Let $\phi(x,t)$ be a real scalar field in 1+1 dimension that lives in an interval $x \in [0,L]$. That is, $\phi(0,t)=\phi(L,t)=0$. Now after some calculations for the vacuum energy and using ...
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Casimir Force between two circular conducting plates

I'd be happy if someone could tell me where to find a derivation (if there is even one) or if there exists an explicit expression that estimates the Casimir force between two parallel circular ...
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The Drude model and Casimir force

Some years ago I have read a paper (which I could not find now) where it was argued that using the Drude model to calculate the Casimir force between real metals does not make any sense because the ...
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Which fundamental force is responsible for the Casimir effect? [duplicate]

I've read about the Casimir effect, and there seem to be no particle mediating the force; but the virtual particles called virtual photons. Is it enough to conclude that the Casimir effect is due to ...
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Virtual and Real particles

In a discussion with my astrophysics lecturer, we ended up talking about virtual particles. One of the most astonishing phenomena he pointed out was the fact that annihilation of virtual particles ...
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Sounds in space, a follow up; the Casimir effect

Sounds in Space, vibration of virtual particles This question is a continuation of this previous question. My question is given two plates located in space is it possible to transmit acoustic ...
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Is gravity a partial product of the Casimir effect? Thus, is gravity the partial macro effect of electromagnetism/quantum fluctuations?

From the Casimir effect, we know that when two plates are placed very close to each other in a vacuum, they attract each other because the 'pressure' of the quantum fluctuations that press on the two ...
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Why do the energies of the infinite square well decrease as width of the well increases?

The stationary state wavefunctions for the infinite square-well of width $a$ are given by $$\psi_n(x)=\sqrt{\frac{2}{a}}\sin{(\frac{n\pi x}{a})}.$$ These correspond to energies, $$E_n=\frac{n^2\pi^2\...
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Is the fact that the sum of all natural numbers $\sum_{n=1}^\infty n = -\frac{1}{12}$ essential to the understanding of the Casimir Force In QED?

Apparently this result is used in many areas physics including the extra dimensions of string theory, which is not the scope of the question. The result is apparently also used to understand the ...
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Query about approaches to extract energy out of Quantum Vacuum Fluctuations [duplicate]

Are we aware of any theoretically sound approach that would potentially allow us to extract energy out of the Quantum Vacuum Fluctuations indefinitely. The magnitude of the energy extracted doesn't ...
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Is there any relation between Casimir effect and Unruh radiation?

I hope this question is appropriate for this site. The question refers to the link: https://arxiv.org/abs/1302.2775 where it proposes that: Abstract: The property of inertia has never been fully ...
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Casimir energy expression for massive scalar field [closed]

While studying the Casimir effect, I had no problem getting the result for the energy of a massive scalar field: $$E(a,m)= -\frac{mc^2}{4} - \frac{\hbar c}{4 \pi a} \int_{2\mu}^{\infty} \frac{\sqrt{y^...
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A query regarding Casimir Effect

As I understand the Casimir effect is the effect that when two uncharged conducting plates are placed appropriately close to each other, the net pressure b/w the plates due to virtual photons (or ...
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Casimir force, even dimension

Considering a Scalar field (massless) in a $D$ dimensional space, with Dirichlet boundary condition in $x$ direction, \begin{eqnarray} \phi(0,x_2,x_3,....x_D,t)=\phi(a,x_2,x_3,...x_D,t) \end{eqnarray} ...
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Conservation of momentum/energy and Casimir effect?

I am looking for an understanding which shows that conservation of momentum is not violated while observing Casimir effect? The link for Casimir effect is https://en.wikipedia.org/wiki/...
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Relativistic Casimir Contradiction

If i have two very large parallel rectangular metal plates separated at a distance $d$ , I can measure the casimir force between them as $$ \frac{hc\pi^2}{240d^4} $$ Now suppose I give the ...
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Pion interaction in vacuum [closed]

Does pion zero particle $\pi^0$ (zero charge and null spin) experience casimir force? If i wonder how pion particle with quantum electrodynamic field.
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Can the Casimir effect also generate a repulsive force at large distances?

I've just seen a documentary where they state that particles pop into existence and then annihilate each other all the time in empty space. The experiment discussed that proved this was that two metal ...
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General technique for solving non-scattering problems in quantum field theory

In quantum electrodynamics (QED), for example, we can calculate any scattering amplitude using the Feynman diagram perturbative expansion. That is, we can calculate the matrix element $\langle i | f \...
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Is the vacuum energy also a force on moving objects?

Newton says 'In an inertial reference frame, an object either remains at rest or continues to move at a constant velocity, unless acted upon by a force.' Now in the casimir effect it seems that ...
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Relation between Casimir Effect and Quantum Tunnelling

Are Casimir Effect and Quantum Tunnelling dependent on each other? Also, is it reasonable to conclude that if Casimir Effect is already observed in a system, then Quantum Tunnelling has also taken ...
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Why acceleration at the edge of the galaxy is lesser?

I was going through Modified Inertia using the Hubble Scale Casimir effect the theory is proposed by M.E. McCulloch. The theory says it can explain different anomalies such as EmDrive, Galactic edges,...
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Could the dynamic Casimir effect be used for propulsion without propellant?

The dynamic Casimir effect has been demonstrated experimentally by Professor Wilson from Chalmers University in Sweden. Instead of moving mirrors at relativistic speeds, Professor Wilson circumvented ...
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Casimir Effect. Where does the energy which pulls the plate come from?

According to this video here on the Casimir Effect Wikipedia. Due to the greater pressure from the 'outside' of the plates these plates of metals get pushed towards each other. When this pressure ...
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How to emulate moving mirror without moving parts?

Is there any way to simulate moving mirror without moving parts? I read that they did it when they try to find Dynamical Casimir effect, but I did not get how it works. Or maybe there is another way ...
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Casimir Plates and Time Dilation

Between Casimir Plates, the speed of light has been proposed to be faster than the speed of light in normal space. This hypothetical effect is called the Scharnhorst Effect. Scharnhorst Effect ...
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Could sonoluminescence be the result of the Casimir Effect?

My question concerns Sonoluminescence. I was amazed to learn that collapsing cavitations in liquids generate temperatures greater than 20,000 Kelvin. Is it possible that the vast amount of energy ...
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Generalising a finding in Kaluza-Klein theory to extra spatial dimensions in super string theory a correct method?

As a disclaimer I am an A-level student. I have been doing a research project in which I am looking at manipulating space-time through the ideas provided by superstring theories. I stumbled upon the ...
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Is it possible to create a huge amount of negative energy with quantum effects already known to us (such as Casimir Effect or squeezed vacuum)? [closed]

Can we create a large amounts of negative energy for traversable wormholes, FTL, time machines? I read that Casimir Effect can create negative energy (very small amounts of it) between plates. Maybe ...
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Wet metal disks stuck together - Casimir Effect or surface tension?

I work in a processing plant where round steel cutting blades are used, e.g. 1-2 mm thick and 15-30 cm in diameter. During normal plant operations, these blades are mounted on machinery and rotated ...
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How do we know that analytic continuation agrees with UV regulators?

Consider the divergent series $$S = 1 + 1 + 1 + \ldots$$ which may appear in some calculations involving the Casimir effect. There are two main ways to evaluate this series. One can perform analytic ...
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Confusion regarding Vacuum fluctuations, Strings & The Casimir Effect

From Wikipedia: Casimir Effect The typical example is of the two uncharged conductive plates in a vacuum, placed a few nanometers apart. In a classical description, the lack of an external field ...
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Repulsive Casimir force between two plates

In the literature, Casimir force has been explained using mode summation method, where missing of modes between metal plates give rise to attractive force, how we explain the repulsion using these ...
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Why does analytic continuation as a regularization work at all?

The question is about why analytical continuation as a regularization scheme works at all, and whether there are some physical justifications. However, as this is a relatively general question, I ...
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Why won't this Casimir effect perpetual motion machine work?

So the Casimir effect is caused by an imbalance in radiation pressure(caused by virtual particles) on two sides of a metal plate. This is typically shown with two close plates getting pushed towards ...
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With respect to the Casimir effect, why can't the wavelengths of the virtual particles between two plates just “pass through” the plates themselves?

I've read over the years that the suppression of many of the possible wavelengths between the two plates in a Casimir experiment is what causes the phenomenon (top comment on this Askscience thread is ...
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Casimir effect for spinning Casimir plates

I recently thought of the following experiment. Let's say I have two plates in vacuum facing each other. Now, due to the Casimir effect, there will be some internal attraction between the plates. Now ...