Unformatted text preview: we now want to know the temporal evolution of the line pro±le. Assume all particles have the same velocity P ( v ) = δ ( vv ) , have been expelled isotropically at the same location and time ( t = 0 ). a) Suppose a particle emits at time t . At what time would be observe the emission? Assume the distance between observer and supernova, d , very much larger that any distance the radiating particle may reasonably propagate. Can you use an approximation to simplify the time relation, so it is linear in t ? b) Assuming the particles decay exponentially after instantaneous injection as would be±t a radioactive particle ( P ( t ) = exp(t/t ) Θ( t ) ), calculate the timedependent line pro±le. Explain the evolution of the derived pro±le qualitatively....
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 Fall '08
 RABE
 Physics, Radioactive Decay, Work, Radiation, 19 erg, timedependent line, timedependent line proﬁle

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