In his 1905 paper on emission and transformation of light, Einstein says, quanta are localized points in space. Did he mean that there are space gaps between quant in space and there is a time lag between the emission of quanta by the source?
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If the photon is a freely propagating photon that has some momentum uncertainty, then it is indeed somewhat localized in real space (think of Heisenberg's uncertainty principle). Have a look at Gaussian wave packets for example.
You could also consider photons in some finite square box. Then if you would know the photon's momentum precisely, then it is maximally delocalized as its spatial wave function would extend throughout the whole box.
The reason why photons (and other quantum mechanical particles) are often thought of as being trapped in this box, is because their wave functions are then normalizable. As the size of the box were to go to infinity, then the wave function's amplitude would go to zero.
Jesse
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