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lecture2

# lecture2 - Lecture 2 Wednesday January 26 EE 332...

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Lecture 2 Wednesday January 26 EE 332 Semiconductor Devices Problem Assignment 1.14, 1.17 (see section 1.6.5), 1.19a Wave Like Behavior of Particles This was predicted before it was observed. In 1924 de Broglie proposed by an analogy to the photon that particles should exhibit wave like properties. The wavelength of a particle was given by what is now called the de Broglie wavelength = λ =h/p where h is Planck’s constant and p is the linear momentum ( m v). deBroglie Wavelength Three years later Davisson and Germer, and independently Thomson observed a wave like diffraction of electron which were shot at a crystal lattice from an electron gun. They observed that the incident electrons on a crystal lattice bounced off, or recoiled, at angles predicted by diffraction theory using the de Broglie wavelength. Photons m) ( m 24 . 1 c µ ν = = = h E h E π ω νλ 2 v = = = = k k f () m k E k p V m p m E E m p p h kinetic 2 ) 0 ( particle Free 2 v v , 2 2 2 2 1 h h = = = = = = = = Waves Particles/Electrons Equation Review

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() () () x h V E m dx x d ψ π = 2 2 2 2 2 4 In three dimensions () V E m = 2 2 2 h Time Independent Schrödinger Equation In one dimension dxdydz * Presence of a particle corresponds to a high
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lecture2 - Lecture 2 Wednesday January 26 EE 332...

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