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Lec1

# Lec1 - Lecture 1-Quantum Mechanics EE2 Physics of...

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Lecture 1-Quantum Mechanics EE2, Physics of Electrical Engineering UCLA Alex Shailos 1 Wave-particle duality o Waves behaving like particles Photoelectric effect: Waves exhibit particle-like behavior In a metal, a certain amount of energy is required to “free” and electron into the ambient You could turn up intensity low frequency wave all you want and never free an electron o i.e., no proportionality of intensity and frequency, which classical physics asserts o answer: individual units of energy must be arriving. If that unit is below the required energy (no electron is free) ((and it’s ver y hard for the individual photons to “work together” to free an electron, although it is possible)) E h hf h h 2 h 6.63*10 34 m 2 kg s Waves have momentum! Also, think of energy

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Lecture 1-Quantum Mechanics EE2, Physics of Electrical Engineering UCLA Alex Shailos 2 p hf c h f frequency (1/s) [can also be ] c velocity of light (m/s) c f p momentum h Planck's constant = 6.63x10 34 m 2 kg s h p **I use f instead of for frequency to avoid mixing it with velocity, v** Particles behaving like waves o Why electrons in atoms have certain levels o Used for electron diffraction experiments to determine structure of materials, because electron wavelength is much smaller than optical wavelength (e.g., TEM) p mv m mass {kg} h p h mv p deBroglie wavelength **Remember, c is just a specific velocity, v Electron diffraction experiment o One slit diffraction vs two slit diffraction pattern General equation for a wave o Time dependent Stand at one point and watch the ocean bob o Position dependent Freeze the ocean (stop time) and move along in x t   cos 2 ft x   cos 2 x Combine the two for a traveling wave Show web applet
Lecture 1-Quantum Mechanics EE2, Physics of Electrical Engineering UCLA Alex Shailos 3 x , t A cos 2 x 2 ft x , t A cos 2 x ft v f x , t A cos 2 x v t A cos 2 x vt 2 k propogation constant (think: spatial frequency) x , t A cos k x vt Another way to write the function...

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Lec1 - Lecture 1-Quantum Mechanics EE2 Physics of...

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