Lecture 10

Lecture 10 - EEE 434 Quantum Mechanics...

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Unformatted text preview: EEE 434 Quantum Mechanics http://www.eas.asu.edu/~ferry/EEE434.htm L10:1 EEE 434/591—Quantum Mechanics David K. Ferry Regents’ Professor Arizona State University IBM’s T. J. Watson research center, Yorktown, NY EEE 434 Quantum Mechanics http://www.eas.asu.edu/~ferry/EEE434.htm L10:2 Resonant Tunneling Last time, we discussed tunneling of “particles” through a barrier, which was sufficiently thin that the wave would penetrate prior to fully decaying. It is the wave nature of the “particle” that allows this tunneling to occur. More recently, there has been interest in resonant tunneling, in which a bound state exists between two barriers. EEE 434 Quantum Mechanics http://www.eas.asu.edu/~ferry/EEE434.htm L10:3 In the resonant tunneling diode, a quantum well is placed between two tunneling barriers: A “bound” state can form in the quantum well. The tunneling coefficient is approximately given by the product of the two barriers, except for the energy of the bound state, where T can approach unity! EEE 434 Quantum Mechanics http://www.eas.asu.edu/~ferry/EEE434.htm L10:4 In optics, a Fabry-Perot cavity consists of two parallel mirrors, and there are resonances when the cavity is an even number of half-wavelengths in length. This causes transmission resonances through the cavity. EEE 434 Quantum Mechanics http://www.eas.asu.edu/~ferry/EEE434.htm L10:5 So, once again, the quantum analog arises from merely treating the “particle” as a wave and using these properties. “particle” as a wave and using these properties....
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Lecture 10 - EEE 434 Quantum Mechanics...

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