ABSTRACT
We propose to treat Maxwell equations as a wave equation of motion for a photon (a quantum of light) and to develop the photon mechanics on this basis.
Consider vectors of electric and magnetic fields E and H as a single object (a bivector) F , which corresponds to the function ψ in the wave theory of the electron. Multiplying the vacuum Maxwell equations
− rotH+ 1 c
∂E ∂t
= 0, rot E + 1 c
∂H ∂t
= 0 (1)
by hc
2πi , it is possible to rewrite them in the form
HF + h 2πi
∂F ∂t
= 0, (2)
where H is the operator
H = hc
2πi
{ 0 − rot rot 0
} ; (3)
its meaning follows from the comparison of equation (2) with (1). Equation (2) can be interpreted as a wave equation for a photon.
