# SWARTHMORE PHYS 115 - Physics 115 - Seminar 13 (2 pages)

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## Physics 115 - Seminar 13

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Lecture Notes

- Pages:
- 2
- School:
- Swarthmore College
- Course:
- Phys 115 - Modern and Quantum Optics

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Physics 115 Seminar 13 December 9 2002 Photons and Atoms Comments Townsend chapter 14 This chapter covers too much but still manages a decent job It is a good idea to supplement this chapter with other sources such as Shankar and Loudon I ll pull material from Shankar s chapter 18 and Loudon chapters 2 and 4 Presentations 1 Two level systems and the Optical Bloch Equations Present Loudon sections 2 1 2 2 and 2 7 Andrew 2 Problem 7 Roban 3 Problem 6 Matt 4 Problem 5 Mike 5 Problem 4 Melaku 6 Problem 3 Mark 7 Problem 2 Robin 8 Problem 1 Ursula Problems 1 Townsend 14 4 Solutions to the relativistic version of the Schro dinger equation known as the Klein Gordon equation 2 Townsend 14 6 Perturbed harmonic oscillator treat the field interaction semi classically exp i t exp i t H1 e r E i E0 where the harmonic oscillator moves along the x axis r i x and so points the field E 3 Townsend 14 8 NMR as a perturbation 4 Townsend 14 10 Magnetic Dipole transitions are isotropic if the measurement isn t spinsensitive Hint How do the probabilities P 1 and P 1 depend on Bx By and Bz 2 5 Townsend 14 12 Photoelectric effect theory 1 2 6 Assume that an electron is initially in the ground state 0i of a molecule described by a complete set of states ni which are eigenstates of the time independent Hamiltonian H0 ni En ni Treat the interaction with radiation semi classically see Problem 2 and show that the coefficients cf are f0 E ei f 0 cf h 1 e i t 1 ei t f 0 f 0 where f 0 ehf r 1i and h f 0 Ef E0 Use the coefficients to derive and expression for the wavefunction to first order of course and the dipole moment eh r i 7 Shankar 18 2 5 An interesting way to look at the effect of linear potentials on harmonic oscillator states 2

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