Unformatted text preview: remain in the ground state. Show that this is consistent with the transition rate (Bransden 9.61) for a twolevel system with harmonic perturbation. (Previously we focused on this equation when we were near the resonance of one of the two terms. Now you have to show that as ω → 0, P (1) ab → 0, using the relationship between A and A † .) 5. (a) Find a solution that is stationary on average for motion of a nonrelativistic classical particle of charge q and mass m , under the motion of a periodic electrical ﬁeld E ˆy sin( ωt ). You should ﬁnd simple harmonic motion of frequency ω in the y direction. (b) Now calculate the total energy radiated per period of this oscillation, using the Larmor formula for instant radiated power of a classical charged particle of acceleration a : in SI units, P = e 2  a  2 6 π± c 3 . (1) 1...
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 Fall '07
 MOORE
 mechanics, Energy, Photon, Fundamental physics concepts, Hydrogen atom, dipole matrix element, electric dipole selection

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