NOTES
1: Spin, Multiple Particles
2: 1st Order, Time Independent, Perturbation Theory
3: Perturbation Theory continued, degenerate cases
4: Relativistic correction to the hydrogen atom
5: Spin Orbit correction to the hydrogen atom
6: WKB #1
7: Time Dependent Perturbation Theory 1
8: Time Dependent Perturbation Theory 2
9: Scattering Theory - Intro and Partial Waves
10: Scattering Theory - Born Approximation
Homework
HW - 1: 6.2,6.3,6.4, Due Mon February 9th,
tips
HW - 2: 6.7,6.8,6.9, Due Wed February 18th<
Use itntegrators as necessary
HW - 3: 6.11 (a),6.12,6.14, Due Wed February 25th
6.11 look at equation 4.70, 6.12 look at equation 4.191, 6.14 see problem 2.12 and use equations 2.66 and 2.69
HW - 4: 8.1,8.3,8.5,8.6, Due Wed, March 4th
8.5 v(x)=mgx, google the zeroes of the airy function, the ones on mathworld are correct, look at equation 3.69
HW - 5: 8.14, 8.17 Due Fri, March 13th
8.14 Do the integral and the algebra, don’t use an integrator. Griffiths solutions skip about 50 percent of the steps. Make sure you fill them in.
8.17 pick h = 10 cm, R = 3 cm, m = 300 g, Temperature = 300 kelvin
HW - 6: 9.2 and 9.5
9.2 - trick differentiate both c_a^dot and c_b^dot so you have two second order in time equations that are coupled and solve. 9.5 - solve symbollically, write as integrals in symbollic form. You can't actually solve these without the perturbation hamiltonian.
HW - 7: 9.8, 9.17,Due Fri, April 6th write out the allowed transitions within the n = 3 state of the hydrogen atom using the selection rules derived in class.
9.8 set the ratio of equation 9.56 and equation 9.47 equal to one, This gives the dividing line between spontaneous to stimualted emission. 9.17, skip part B
HW - 8: 11.4, Due Mon April 20th
Dont forget ka is small when dealing with sin and cot expressions near the end of the problem. Immediately only calculate for l = 0. When evaluating what a_0 is at the end, remeber, terms that go as ka are tiny, terms that go as 1/ka are huge. Use 11.29 to evaluate the wavefunction for r > a and 11.18 for r lt a, remember n_l blows up at the origin. There is no scattering region here as the delta function is defined at a point only so the intermdiate region defines r lt a. Lastly, e^x for x lt 1 is ~ 1+x.
HW - 9: 11.8,11.10,11.11,11.18 Due Friday May 1st
Hw - 10: 11.15, Due, Last Friday of Class, May 8th
Exam Dates (TBD)
Exams will be 4-6 problems long with one of these being strictly qualitative, one being a curveball, and the rest similar to homework problems or class examples.
Exam 1 Handed out February 25th, due by 5:00 on February 26th
Exam 1 Solutions
Exam 2 Handed out April 9th, due by 2:00 on April 11th
Final Exam - 1-2:50, Wednesday, May 13th