foodchain Posted November 22, 2009 Posted November 22, 2009 (edited) Could you make a series of wells based on probability to amplify a particle that is quantum tunneling. Say you could make a well that made a certain barrier statistically for a particle to tunnel, could you on the other side of that make a similar barrier but based on a particle that has already tunneled, and in turn basically make a series of that where each barrier is based on the previous one, or would a particle that tunneled have to come out on the other side with no way to interact with the next barrier in a similar manner while being still in the state from the first tunneling event. particle(A)->barrier(A)->particle(A+tunnel A)->barrier(b) and so on. I don’t know if tunneling happens only at certain energies, but if there was a small range of values then I think you could take advantage of this, for what application I have no idea. Maybe if you could use it on photons it could act as a gate on behavior, but I don’t know how you could trap a photon, save for applying it to absorption and emission of photons from a quantum dot in some matrix. Maybe like a circuit, but for the particle to advance it has to tunnel through a sequential amount of barriers each with a higher energy cost in regards to probability for a tunneling event, and that each is based on the energy value on the previous barrier? Nevermind, google should be the first step huh. http://cat.inist.fr/?aModele=afficheN&cpsidt=17742846 Edited November 22, 2009 by foodchain +1 carriage return
ajb Posted November 22, 2009 Posted November 22, 2009 I don’t know if tunneling happens only at certain energies, but if there was a small range of values then I think you could take advantage of this, for what application I have no idea. Look up instantons and the WKB approximation. You will find that the tunnelling amplitude in quantum mechanics is proportional to [math]e^{-\frac{1}{\hbar}\int_{a}^{b} \sqrt{2m(V(x)-E)}dx}[/math], where [math]a[/math] is the beginning point and [math]b[/math] the end point of the tunnelling. [math]V(x)[/math] is the potential and [math]E[/math] the energy.
Klaynos Posted November 22, 2009 Posted November 22, 2009 I'd suggest reading about semiconductor microcavities...
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