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Maxwell's Equations: Extended PROCA equations
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Considering relativistic quantum mechanics PROCA has developed following
extended maxwell's equations in quantum field theory -> the so-called proca's equations
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.The difference between maxwell's equations in classic field theory and quantum field theory is shown in red boxes.
The additional "red box" terms consist of magnetic vectorpotential A, electric scalar potential PHI,
material properties in vacuum both permeability mue & permittivity eps. The magnetic flux density B is equal to rot A = curl A .
The special term Term k² = Kapa² = (m₀ c / S)² is famous in quantum mechanics, because
Kapa is the Compton frequency devided by velocity c of light ... or Einstein's energy in view of quantum mechanics.
The mass in rest (no relativistic movements) is m0, the universal Planck's constant in quantum mechanics is S.
Note: These PROCA equations (8) can be also derived from unified equation Re + i Im = 0 in section 4.

2.b) The well known relativistic Schrödinger equation, the so-called Klein-Gordon equation is:

2.c) Extending this homogeneous Klein-Gordon wave equation ( f = 0 ) , applying a probability function
Y ("PSI") we get the non homogeneous Proca wave equations ( f not equal 0 )

Introducing magnetic Vectorpotential A and scalar Potential PHI we can derive following wave equations :

... Using B = curl A and the constitutive relations
these equations (8a), (8b) or (8c) can be derived directly from equations (8)
... or can be also evaluated from unified equation Re + i Im = 0 in section 4.