Abstract

The Beer—Lambert law is derived directly from Schrodinger's equation for the dynamics of a many-absorber block of matter interacting weakly with a light pulse generated by a superposition of one-photon states of the radiation field. The fluorescent response of an absorber at a depth x in the block depends on both the spatial attenuation and phase-shifting of the frequency components comprising the light pulse. In the limit of narrow band-width pulses the Beer—Lambert law is obtained.

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