Modern physics Physics of Astronomy, winter week 9 Star Date Astrophysics Ch.5: Interaction of light & matter Cyclotron frequency, Zeeman splitting Bohr.

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Presentation transcript:

Modern physics Physics of Astronomy, winter week 9 Star Date Astrophysics Ch.5: Interaction of light & matter Cyclotron frequency, Zeeman splitting Bohr atom, quantum numbers Minilectures Portfolio/eval preparation

Astro. Ch.5: Interaction of light & matter History of Light quantization: Stefan-Boltzmann blackbody had UV catastrophe Planck quantized light, and solved blackbody problem Einstein used Planck’s quanta to explain photoelectric effect Compton effect demonstrated quantization of light hc/ = K max + 

Astro. Ch.5: Interaction of light & matter History of atomic models: Thomson discovered electron, invented plum-pudding model Rutherford observed nuclear scattering, invented orbital atom Bohr used deBroglie’s matter waves, quantized angular momentum, for better H atom model. E n = E/n 2 Bohr model explained observed H spectra, derived phenomenological Rydberg constant Quantum numbers n, l, m l (Zeeman effect) Solution to Schrodinger equation showed that E n = E/  l(l+1) Pauli proposed spin (m s =  1/2), and Dirac derived it

Improved Bohr model Solution to Schrodinger equation showed that E n = E/  l(l+1), Where l = orbital angular momentum quantum number (l<n). Almost the same energy for l=n-1, and for high n.

Spinning particles shift energies in B fields Cyclotron frequency: An electron moving with speed v perpendicular to an external magnetic field feels a Lorentz force: F=ma (solve for  =v/r) Compare to Zeeman effect. See HW hints for CO Ch.5

week 9: Monday Minilectures Astrophysics Ch.5: Interaction of Light and Matter Team 1: Problem 5.4, photoelectric effect, Chelsea + Brian Team 2: Problem 5.9, electrical vs gravitational forces, Erin & Mary Team 3: Problem 5.14, white dwarf and uncertainty principle, Jared + Joey (This is a really easy problem. Feel free to add another if you like.) Team 4: Problem 5.17, Zeeman effect, Jenny + Tristen HW due Mon.8.March includes Giancoli problems we did in class last Thus.26.Feb. Do you want to turn these in earlier? Giancoli Ch.39 # 7,9; Ch.40 # 45, 46 Carroll + Ostlie Ch.5 # 4, 9, 14, 16, 17

week 9: Thursday Minilectures Boas: Partial differentiation and series. Tuesday: Overview and series: Zita, Ch.1. Problems Sec.15 p. 39 # 28, 29 Thursday: Boas Ch.4, PD: Do at least one of your problems in class. HW due Tues.9.March. Zita: overview lecture, Sec.1 Team 1: Sec.3, total differentials, Example p.151 Team 2: Sec.4, approximations, Prob.7(p.156), 13-8 (p.198) Team 3: Sec.5, Chain rule, Prob 1, 3, 6 (p.158) Team 4: Sec.6, Implicit differentiation, Prob.5, 6 (p.160) Team 5: Sec.8, Max/min, Prob.11 (p.171) 4.8 Prob.1 (Zita)