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news_042111 - Stuff for Thursday, April 21, 2011 PS #6...

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Unformatted text preview: Stuff for Thursday, April 21, 2011 PS #6 first pass and 1094 Session #4 are returned up front. Quiz #4 Friday on Q7 and Q8. Midterm: Any 2 hours from 6:30pm to 10:00pm on Tue., May 3. Spectral lines from transitions: Ephoton = Ei − Ef = hc /λphoton 1 Quanton in a box: V (x ) = 0 for 0 ≤ x ≤ L and infinite outside. En = 2 1 Harmonic oscillator: V (x ) = 1 ks x 2 = 2 mω 2 x 2 2 En = 3 h2 n2 (pn c )2 hc hc 8mc 2 L2 = , pn c = = , λphoton = 8mL2 2mc 2 λn (2L/n) hc (ni2 − nf2 ) (ω = ks /m) hω 1 1 1 hc (n + ) = ω (n + ) , n = 0, 1, 2, . . . , λphoton = 2π 2 2 ω ni − nf Bohr model of hydrogen atom: circular orbit of radius r En = − ke2 13.6 ev ( c )2 2(hc )a0 ni2 nf2 =− , rn = n2 a0 = n2 , λphoton = 2a0 n2 n2 mc 2 ke2 ke2 ni2 − nf2 ...
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