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Connection between electromagnetism and quantum mechanics

Question asked by Mitsuru Yamada on Mar 20, 2014
Latest reply on Apr 22, 2014 by Mitsuru Yamada

In electromagnetism, there is a notion called "Poynting vector."

It represents an electromagnetic energy flow current in vacuum space.

It is defined as a vector product of electric field E and magnetic field H.

That is,



In quantum mechanics, the electromagnetic wave is represented by the broadly prevailing notion of photon.

A photon has a definite energy hv.

The Poynting vector is well defined function of position and time, that is, S=S(x,y,z,t).

On the contrary, the quantum mechanical photon is ill defined regarding its position and time.  It says only the energy the photon possesses.


Then here come my questions to you.

Is there anyone who can connect the above two kind of physical notions?

Is there anyone who can bridge the gap between the two features of light?