Subject: Redshift and Planck's Equation

Isn't there a seeming contradiction between astronomical (and other Doppler 
shifts) and quantization of energy? That is, if light at some frequency 
(Lyman Alpha comes to mind) represents the minimal energy associated with 
a state transition, then what does it mean for that light to be red (or 
blue) shifted.

Is less energy released by a hydrogen atom moving away from me? One atom, one
event, one photon. As I understand quantum theory that photon will always have
the same energy. Then how come I will measure a higher or lower energy 
depending on the relative motion of me and the source?

Re: Redshift and Planck's Equation