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- Thread starter Kruger
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- #2

Kruger

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nobody knows?

- #3

Kruger

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Please, I wonder if you know.

- #4

marlon

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It makes no sense to me

marlon

- #5

Kruger

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Now, you see there are standing waves (oscillations) between the plates. The thing what I try is to draw such oscillations between a circle and a plate.

And I don't really know how to draw this oscillations (between circle and plate), I mean in case of the Casimir-Effect they have to be at an angle of 90 degree at the wall, other oscillations are forbidden. Do you see?

- #6

Kruger

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I thank the person or people who can help me.

- #7

marlon

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Kruger said:

http://images.google.ch/imgres?imgu...ages?q=casimir+effect&svnum=10&hl=de&lr=&sa=N

Now, you see there are standing waves (oscillations) between the plates. The thing what I try is to draw such oscillations between a circle and a plate.

And I don't really know how to draw this oscillations (between circle and plate), I mean in case of the Casimir-Effect they have to be at an angle of 90 degree at the wall, other oscillations are forbidden. Do you see?

Err, what is the point using a circle and a plate ? What is the physical relevance ?

What you can do is this : the circle itself can be seen as an infinitesimal sequence of little lines. One can then treat each line and the other plate. Ofcourse, when both plates are not parallel then no standing waves are possible so basically there is only one contribution, ie the one i mentioned above with two parallel plates

marlon

- #8

Kruger

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Err, what is the point using a circle and a plate ? What is the physical relevance ?

The relevance is to calculate the Casimir Force between sphere and plate that comes from the zero point energy of the electromagnetic field. The oscillations of the electromagnetic field are in their lowest possivle energy state, E=h(bar)omega/2, if they are in vacuum state. These oscillations can just build standing waves between two plates and between a sphere and a plate. You see?

Thanks marlon.

- #9

marlon

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Kruger said:The relevance is to calculate the Casimir Force between sphere and plate that comes from the zero point energy of the electromagnetic field. The oscillations of the electromagnetic field are in their lowest possivle energy state, E=h(bar)omega/2, if they are in vacuum state. These oscillations can just build standing waves between two plates and between a sphere and a plate. You see?

Thanks marlon.

But why a sphere and a plate ?

I mean, the reason we use the two plates is just to illustrate the existence of this Casimir force. The distance between the two plates selects only certain waves that can exist in between them...So why would you want to replace one plate by a sphere if you take this reasoning into account ?

marlon

- #10

Kruger

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So why would you want to replace one plate by a sphere if you take this reasoning into account ?

Why not . I calculated the force between two plates, its quite easy. Now, I wanted to make some connections between various geometries of the Casimir-effect.

Another question is the following:

Between a plate there is one electromagnetic oscillation with wavenumber k, such that we have k=pi/L where L is the distance between the plates. This is one oscillation I picked out of the whole set of oscillations. The angular velocity omega of this oscillation has to bi: w=c*pi/L at time t1. Now, the plates will be pushed together (Casimir- Force). Can we then just say, that at time t2 where the new distance between the plates is smaller then L, the angular velocity of that oscillation has just changed or must we say this oscillation is "destroyed"?

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- #11

DaTario

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Regarding Casimir Effect, I wonder if is there anyone who had discovered a kind of topological logic in terms of which one can easily decide if a certain configuration of Casimir objects will yield attraction or repulsion.

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