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The electric flux operator can then be identified with the third component of a spin S operator, S i j z, and the quantum link variables are the corresponding raising and lowering operators, S i j ±.
Here φ i j = ∫ i j d l → ⋅ A → corresponds to the phase accumulated by a charged particle moving from i to j in the presence of a vector potential A →. Associated to each link variable, there is a canonically conjugate electric flux operator E i j = − i ∂ φ i j [see Fig. 1(a)], which obeys the commutation relations (1) [ E i j, U i j ] = U i j, [ E i j, U i j † ] = − U i j †.
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The commutation relations (1) imply that U i j and U i j † act as raising and lowering operators of the electric flux e i j, respectively.
Gauss's law for electricity states that the electric flux across any closed surface is proportional to the net electric charge enclosed by the surface.
From this point of view D is frequently called the electric flux density, or free charge surface density, because of the close relationship between electric flux and electric charge.
Maxwell's equations conserve certain properties the magnetic field intensity, the electric displacement field and the Poynting vector that describes the electric flux of an electromagnetic field.
The dimensions of electric displacement, or electric flux density, in the metre-kilogram-second system are charge per unit area, and the units are coulombs per square metre.
Where, the equation involves electric field strength (E) and electric flux density (D), magnetic field strength (H) and magnetic flux density (B), electric current density (J) and electric charge density (ρe).
The change in electric field strength with the distance from the defects produces a different electric flux, resulting in a particular crystallite size distribution.
Thatisolationois built by boundary conditions (44).
In particular they imply that the electric flux through a surface which encloses some region of space must equal the total charge in that region.
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