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21
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3answers
813 views

Regularization of the Casimir effect

For starters, let me say that although the Casimir effect is standard textbook stuff, the only QFT textbook I have in reach is Weinberg and he doesn't discuss it. So the only source I currently have ...
16
votes
2answers
881 views

If energy is only defined up to a constant, can we really claim that ground state energy has an absolute value?

Sorry if this is really naive, but we learned in Newtonian physics that the total energy of a system is only defined up to an additive constant, since you can always add a constant to the potential ...
12
votes
1answer
890 views

dynamic casimir effect

A few years ago, when i studied the casimir effect interpretation as the filtering out of vacuum modes with appropiate boundary conditions, i had the following dilemma; supposedly the derivation of ...
10
votes
1answer
510 views

how does dynamic casimir effect generate correlated photons

There is a recent paper on arxiv receiving lot of acclaim http://arxiv.org/abs/1105.4714 The authors experimentally show that moving a mirror of a cavity at high speeds produces light from high ...
9
votes
3answers
721 views

Does Unruh Radiation replace the cosmic horizon radiation?

A recent paper, titled Inertia from an Asymmetric Casimir Effect, discusses the universal horizons relative to an accelerating observer (Rindler space). A figure it used to demonstrate its point ...
9
votes
2answers
368 views

Casimir effect as an entropic force

When I first learned about the depletion interaction, my initial reaction was that it looks very similar to the Casimir effect. On making this remark to the professor, he replied somewhat mystically: ...
9
votes
0answers
248 views

Which values of the Riemann zeta funtion at negative arguments come up in physics?

For my bachelor's thesis, I am investigating Divergent Series. Apart from the mathematical theory behind them (which I find fascinating), I am also interested in their applications in physics. ...
7
votes
1answer
168 views

Does the Higgs boson contribute to the Casimir effect?

I read that all bosons contribute to the casimir effect with an attractive force. http://math.ucr.edu/home/baez/physics/Quantum/casimir.html Does the Higgs boson contribute to the Casimir effect? ...
6
votes
3answers
5k views

Can 'negative energy' be created by the Casimir Effect?

In several papers about Time machines I have read that the Casimir effect can be used to create negative energy, so the Alcubierre-device or wormholes could be produced. How can negative energy be ...
6
votes
1answer
172 views

Resultant curvature tensor from the Casimir Effect

I've often seen the Casimir effect cited as a source of negative energy/exotic matter with regards to ideas like the Alcubierre drive. The articles then go on to note that the energy required by the ...
6
votes
2answers
182 views

A question to clarify the use of divergent series in calculating the casimir effect

Some time ago I posted a question here on this forum. I would like to ask some questions regarding the way the energy per unit area between metallic plates is calculated. The full calculation is on ...
6
votes
1answer
221 views

Casimir Forces and its associated Feynman Propagator

This is a continuation to my previous question, in which I began an attempt solve the Casimir Force problem using path integrals. As one of the answers there suggest I solve the Feynman propagator ...
5
votes
1answer
183 views

Casimir forces due to scalar field using Path integrals

I have just started learning QFT. I have just completed scalar fields, which I learnt in using Canonical Quantisation and Path integrals. I did calculation of Casimir force between two metal plates ...
5
votes
2answers
156 views

Zeta regularization and Renormalization group

Is there a physical method to prove for example when the zeta regularization of a series $$ 1+2^{k}+3^{k}+............= \zeta (-k) $$ gives the correct result: Casimir effect, vacuum energy and when ...
5
votes
1answer
274 views

Calculating $\mathrm{Tr}[\log \Delta_F]$

I am stuck with this problem for quite sometime. I have a propagator in the momentum representation (from this question), which looks like $$ \widetilde\Delta_F(p) = ...
4
votes
1answer
181 views

Relation between Casimir and hydrophobic effects

Background Some years ago I was studying "Fundamentos de biología" (Biology fundamentals) and learned how the lipids create a bilayer due to the water repulsion. Some time later I learned that this ...
3
votes
3answers
240 views

Could future experiments on “Gravitational Casimir Effect” confirm the existence of gravitons?

From Casimir effect, we know that when two plates are placed very close to each other in vacuum, they attract each other because the quantum fluctuations that press on the two plates' outer surfaces ...
3
votes
3answers
1k views

what causes virtual particle pair production to not occur in the space occupied by matter?

Are virtual particles only popping in and out of existence where the local energy density is below a certain point? What I wonder is, does any kind of matter prevent the pairs from appearing? Is ...
3
votes
1answer
78 views

Casmir effect creating positive energies in vacumn

The Casmir force is explained by wave exclusion: Two parallel plates create a reduction in the possible modes of vacuum oscillations between them, reducing the energy of the vacuum. Since we define ...
3
votes
1answer
271 views

Negative energy and large-scale spacetime structure

I was reading an essay from Stephen Hawking's on the Space and Time warps and I was trying to make sense on some statements referring to the Casimir effect such as: The energy density of empty ...
3
votes
1answer
70 views

What is negative energy?

From what I've read negative energy is based on the Dirac sea concept of virtual particles. Negative energy is referenced by Casimir effects of virtual particle concentration differences between the ...
3
votes
1answer
163 views

Can you “fold” EM or light waves? (i.e) long wave that is reflected by mirror in fragments - like in the game “Snake”

So, I was reading about the Casimir effect. Two mirrors facing each other attract to each other in a vacuum. The reason is due to pressure exerted on those mirrors from the multitude of EM waves (like ...
3
votes
1answer
328 views

Effects of parallel superconducting plates

Assuming the existence of virtual particle field ( zero point energy field) Casimir force is produced by 2 parallel conducting plates excluding some of the frequencies between the plates, if these 2 ...
3
votes
0answers
154 views

Is the Casimir effect also present between two event horizons?

A follow-up to this question: Is the Casimir effect also present between two event horizons?
3
votes
0answers
131 views

Regulating the sum in Casimir Force

I am trying to evaluate the Casimir force using a Gaussian regulator (I know there are other much easier ways to do this, but I want to try this!) We then are reduced to evaluating the sum $$ ...
3
votes
1answer
214 views

Does the Casimir Effect violate the Quantum Inequalities?

Does the Casimir Effect violate the Quantum Inequalities? From what I understand, the Casimir Effect is able to produce negative energy densities for an indefinite amount of time, or is that wrong?
2
votes
2answers
1k views

Faster-than-light communication using Alcubierre warp drive metric around a single qubit?

The Alcubierre warp drive metric has been criticized on the points of requiring a large amount of exotic matter with negative energy, and conditions deadly for human travellers inside the bubble. What ...
2
votes
3answers
255 views

Zero Point Fluctuations

The total energy of a mode in a quantum mechanical resonator is given by $E_n ~=~ (n+ 1/2)hf$ where $n$ is the number of modes. So when there are no modes or vibrations, i.e. $n=0$, the energy is ...
2
votes
2answers
690 views

vander waals and casimir forces

Does one need to invoke quantum mechanics to explain casimir force or vander waals force. I see that textbooks show derivation of vander waal force with no QM but casimir force is typically described ...
2
votes
2answers
393 views

How does slow anti-hydrogen annihilate with normal matter in the lab?

In a recent article: Physical Review A 83, 032903 (2011), A.Yu. Voronin, P.Froelich, V.V. Nesvizhevsky, Antihydrogen Gravitational Quantum States the authors claim that anti-hydrogen has a lifetime ...
2
votes
1answer
114 views

Caimir effect regularization for every divergent sum or series

can we use the tools of renormalization of casimir effect to get finite results for any divergent series in QFT ?? for example let be the divergent series $ \sum_{n=1}^{\infty}n^{l} $ for positive ...
2
votes
1answer
46 views

Minimum atomic clearance permitting motion

Suppose you were to build the piston and cylinder in a car engine atom-by-atom. Let's just say carbon, since you can make a lot of different shapes due to it's high valence. So assuming you make the ...
2
votes
2answers
245 views

what is the relationship between the dynamical casimir effect and virtual particles?

Since virtual particles are disturbances in a field, and not particles in any sense, as explained here, how is it that true photons arise from them when excited with kinetic energy via the dynamical ...
2
votes
1answer
73 views

What is the relation between zeta and cut-off regularization of the Casimir effect?

In the literature there are at least two methods to derive Casimir effect: original one by Casimir himself: take the quantized energy between plates minus the free space energy, then regularize, ...
2
votes
1answer
309 views

Why dynamic Casimir effect does not appear in static gravity field?

Dynamic Casimir effect tells us that a constantly-accelerated mirror should emit radiation due to interaction with vacuum. Following principle of equivalence, a similar mirror placed in static ...
1
vote
2answers
335 views

Why is “space-time” not fully explained as the observational effect of the casimir effect seen from a human perspective?

Simply stated the casimir effect can be observed bringing two plates together microscopically and in vaccum Is this analogous to the observation of gravity? Question: What is casimir effect? ...
1
vote
1answer
139 views

Why does the Casimir effect require metallic plates?

The typical example of the Casimir effect is of two uncharged metallic plates in a vacuum, placed a few micrometers apart. Why do the plates need to be metallic?
1
vote
1answer
30 views

does the dynamical casimir effect generation of real photons create energy from nothing

The experiments reported in recent years demonstrating the creation of real photon pairs from the vacuum via the dynamical casimir effect have made me wonder if this process demonstrates the creation ...
1
vote
0answers
80 views

How would the Casimir effect stabilize wormholes?

According to various sources, the Casimir effect could theoretically be used to stabilize a two-way wormhole because it "simulates" the negative energy exotic matter that would normally be required. ...
1
vote
0answers
92 views

Help with derivation of the Casimir Effect?

I am at the very last part of a relatively long derivation of the Casimir effect, and I just don't understand the final step D: So far, I have derived the ground state energy to be $$\langle 0| ...
1
vote
0answers
35 views

Casimir effect with super conductors

Do the plates in the Casimir effect need to be metal? What if one uses super conductors? Is there any difference theoretically/experimentally?
1
vote
0answers
29 views

What properties does the conductor making the plates for Casimir effect have?

Reading this explanation, I've understood that the divergence in computation of Casimir force on two parallel conducting plates is because of an unphysical model of ideal conductor, which makes EM ...
1
vote
0answers
65 views

Can or does the Casimir effect play a role in solving the electron self-energy problem?

The Casimir effect is usually derived for parallel plates, with the pressure going as the inverse fourth power of the separation. It strikes me that this implies that a tiny spherical shell of charge ...
1
vote
0answers
80 views

Casimir force between plate and sphere

In our quantum optics lecture we derived the formula for the Casimir force between two plates (or at least the force per unit surface, since for two infinite plates we would have an infinite force). ...
1
vote
0answers
270 views

Could one transmit a signal with equally-tuned casimir plates across the quantum field?

It seems, one could exploit the Casimir effect to send messages across arbitrarily-large distances with carefully-tuned Casimir plates. Obviously, relativity would preclude FTL information transfer, ...
0
votes
2answers
542 views

Casimir effect plate experiment

i was a little confused about the casimir effect. my understanding is with the 2 plate experiment there was a force pushing the plates together because there were less virtual particles in between the ...
0
votes
1answer
101 views

Casimir effect when the zeta function has a pole

let us suppose the Casimir force/ Vaccumm energy of a certain system $$ E_{casimir}= \sum _{n} \omega _{n} $$ which is formally equal to $ E_{casimir}= \zeta _{spec}(-1) $ with $ \zeta ...
0
votes
1answer
409 views

Effect of strength of magnetic field on the height of a levitating superconductor?

Quantum levitation, flux pinning -- basically, when a superconductor floats above a permanent magnet, is really fascinating. But does the strength of the magnetic field influence the superconductor's ...
0
votes
0answers
18 views

Oscillatory Casimir effect with a spring and repuslive forces

Assume a system or 2 plates connected by a spring with potential energy $ \frac{mw^{2}x^{2}}{2} $ then asume the configuration is ssuch that the Casimir force between the plates is repulsive. My ...
0
votes
0answers
92 views

What is the Casimir effect caused by gravity?

What is meant by a Casimir effect caused by gravity? Please explain me the concept in detail and how is it caused.