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Since internal fields can do no net work on the system [see, for example, the discussion by P. C. Martin in Many-Body Physics, edited by C. De Witt and R. Balian (Gordon Breach, New York, 1968)], the power absorption remains unchanged if (Formula presented) in Eq. (44) is replaced by (Formula presented) where (Formula presented) is the total force appearing in the velocity equation. This equivalence was checked numerically. We stress that the use of (Formula presented) the sum of the external and induced electric fields, instead of (Formula presented) is justified when only electromagnetic fields determine the dynamics of the electrons, which is not the case within the TFDW description
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Since internal fields can do no net work on the system [see, for example, the discussion by P. C. Martin in Many-Body Physics, edited by C. De Witt and R. Balian (Gordon Breach, New York, 1968)], the power absorption remains unchanged if (Formula presented) in Eq. (44) is replaced by (Formula presented) where (Formula presented) is the total force appearing in the velocity equation. This equivalence was checked numerically. We stress that the use of (Formula presented) the sum of the external and induced electric fields, instead of (Formula presented) is justified when only electromagnetic fields determine the dynamics of the electrons, which is not the case within the TFDW description.
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The mode is actually gapless at (Formula presented) for all (Formula presented) values (see the 1-2 branch in Fig. 1111). Figure 1212 shows the (Formula presented) dispersion for the limiting values of (Formula presented) and (Formula presented)
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The mode is actually gapless at (Formula presented) for all (Formula presented) values (see the 1-2 branch in Fig. 1111). Figure 1212 shows the (Formula presented) dispersion for the limiting values of (Formula presented) and (Formula presented)
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For a single wire of width (Formula presented) the plasmon frequency behaves as 6811 (Formula presented) For a pair of such wires, the out-of-phase plasmon has a linear dispersion (Ref. 11). The (Formula presented) mode should behave in a similar way
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For a single wire of width (Formula presented) the plasmon frequency behaves as6811 (Formula presented) For a pair of such wires, the out-of-phase plasmon has a linear dispersion (Ref. 11). The (Formula presented) mode should behave in a similar way.
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