= Translational zero mode of a sine-Gordon kink
{title2=$\psi_0=\operatorname{sech}x/\sqrt2$}
The normalized <eigenfunction> $\psi_0(x)=\operatorname{sech}x/\sqrt2$ has zero <eigenvalue> under the <Sine-Gordon kink fluctuation operator>. It is proportional to $\partial_x\phi_K$ and comes from shifting the <collective coordinate> of the <kink>. Its frequency is zero, so it contributes no oscillator <zero-point energy>; it must be handled separately from a Gaussian <functional determinant>.
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