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An '''electromagnetic cavity''' is a [[resonator|cavity]] that acts as a container for [[electromagnetic field]]s such as [[photon]]s, in effect containing their [[wave function]] inside. The size of the cavity determines the maximum photon wave length that can be trapped. Additionally, it produces quantized [[energy level]]s for trapped charged particles like [[electrons]] and [[protons]]. The [[earth's magnetic field]] in effect places the [[earth]] in an electromagnetic cavity.
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== Physical description of electromagnetic cavities ==
 
Electromagnetic cavities are represented by [[potential well]]s, also called ''boxes'', which can be of limited or unlimited depth V<sub>0</sub>.  
 
[[Quantum-mechanic]] boxes are described by the time-independent [[Schrödinger equation]]:
 
:<math>\left[ - \frac{\hbar^2}{2m} \nabla^2 + V(\mathbf{r}) \right] \psi(\mathbf{r}) = E \psi (\mathbf{r}),</math>  
 
with the additional [[boundary condition]]s  
* the wave function is confined to the box (infinite deep potential well) or approaches zero as the distance from the wall increases to infinity, thus [[normalisable]]
* the wave function must be [[continuous function|continuous]]
* the [[derivative]] of the wave function must be continuous
which leads to real solutions for the wave functions if the net energy of the particle is negative., i.e. if the particle is in a [[bound state]].
 
== Applications of electromagnetic cavities ==
 
Electrons which are trapped in an electromagnetic cavity are in a [[bound state]] and thus organise themselves as they do in a regular [[atom]], thus expressing chemical-like behaviour. Several researchers have proposed to develop [[programmable matter]] by varying the number of trapped electrons in those cavities.<ref>[http://www.wired.com/wired/archive/9.10/atoms.html "Ultimate Alchemy"], ''Wired'', Issue 9.10, Oct 2001. Retrieved 23 October 2012</ref>
 
The discrete energy levels of electromagnetic cavities are exploited to produce photons of desired frequencies and thus are essential for nano- or submicrometre-scale [[laser]] devices.
 
== See also ==
 
* [[Cavity resonator]]
* [[Crab cavity]]
* [[Schumann resonance]]
* [[Optical cavity]]
* [[Quantum dot]]
 
== References ==
{{Reflist}}
 
[[Category:Electromagnetism]]
 
 
{{Physics-stub}}

Latest revision as of 03:28, 13 January 2015

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