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$\begingroup$ Your answer answers my question partly. My main question is why is the polarization /phase of the emitted photon random rather than similar to the absorbed photon? $\endgroup$– physics2000Commented Mar 26, 2018 at 16:06
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$\begingroup$ @physics2000, in spontaneous emission the first photon is absorbed and no longer exists. Then some time later (nanoseconds, microseconds, or megaseconds) a new photon is emitted. But since the old photon no longer exists, there's no way for the new photon to have any connection to it. $\endgroup$– The PhotonCommented Mar 26, 2018 at 16:11
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$\begingroup$ now this makes sense. But why does the opposite happen in stimulated emission? Thanks for the reply though. $\endgroup$– physics2000Commented Mar 26, 2018 at 16:13
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$\begingroup$ @physics2000, stimulated emission can be looked at as a resonant phenomenon. The incoming photon stimulates a resonance in the atomic system. Like in any driven resonant system, the driven response has a (controlled) phase relationship with the driving force. $\endgroup$– The PhotonCommented Mar 26, 2018 at 16:17
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$\begingroup$ How do we calculate the lifetime of the excited state, in the case of spontaneous emission? $\endgroup$– Lex LindseyCommented Feb 15, 2020 at 19:01
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