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Unformatted text preview: Express your answers in terms of transition dipoles. Use the longtime limit. 4) Derive the formula for the onephoton spontaneous emission rate in the dipole approximation using a quantized radiation field and the proper threedimensional density of states formula for the modes of radiation. Use Fermis Golden Rule. 5) An electron moves in the onedimensional potential V(x) =  (x). At time t=0, the potential suddenly changes to V(x) =  (x). Both and are positive. Calculate the probability of a transition from the old ground state to the new ground state. Consider the special case =/2 and discuss /1 and /1. 6) A harmonic oscillator in its ground state oscillates in one dimension around an equilibrium distance x . Suddenly, the equilibrium distance is changed to x 1 . Determine the probability that the oscillator stays in its ground state....
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This note was uploaded on 06/13/2011 for the course PHYSICS 829 taught by Professor Staff during the Spring '07 term at Ohio State.
 Spring '07
 Staff
 mechanics, Work, Radiation

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