eq_sheet3_08new_1

eq_sheet3_08new_1 - Equation Sheet 3 Ch. 38 Light...

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() 22 Ch. 38 Light quanta-Photons: (photon energy) (photon momentum) Photoelectric effect: Compton shift: 1 Matter waves: Wave equation: 8 max Eh f hf h p c hf K h cos mc h p dm EUx dx h λ λφ ψπ = == =+ Φ Δ= = +− 2 2 2 0 Heisenberg's uncertainty principle: Barrier tunneling: 8 , where xyz b bL xp ; yp ; zp mU E Te b h ψ π = ⎡⎤ ⎣⎦ ΔΔ ≥ = === ± Equation Sheet 3 () () 2 2 n 2 2 Ch 39 Electron in infinite potential well, width : , for 1 2 3 8 , for 1 2 3 Prob. density , for 1 2 3 Norma high low n n L h En n , , h f E E E mL n xA s i n n, , L n Px x As i n n ,, L ⎛⎞ = Δ = ⎜⎟ ⎝⎠ = = 2 2 2 2 nx,ny 2 nx,ny,nz lization of zero-point energy: 1 Two- and three-dimensional electron traps: 8 8 n y x xy xd x n n h E mL L n h E m +∞ −∞ = = 2 222 4 n 22 2 2 2 2 0 4 7- 1 23 0 3 Hydrogen atom: 11 3 6 e V 1 , for 1 2 3 8 1 097373 10 m 8 4 Ground state radial probability density: y xz low high r/ n n LLL me . , , R hn n n n me R. hc Pr re a ελ ε ++ =− = = × = 2 where 52 92 pm for energy level : states characterized by angular momentum 1
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This note was uploaded on 06/11/2010 for the course PHYSICS 207 taught by Professor Ellis during the Spring '10 term at SUNY Buffalo.

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