$$\begin{eqnarray*} \alpha & = & v_{s}\epsilon \\ K & = & K_{c}+K_{s}\\ r & = & ... ...{v_{s}}{v_{c}}\right)^{2}\\ z & = & \epsilon (\omega +i\delta ) \end{eqnarray*}$$

stationary string

$$\begin{eqnarray*} M_{xx}(z) & = & A\epsilon ^{2}D_{\xi }e^{-\pi i(K-1)}\Gamma \left(1-K\right)z^{K-2} \end{eqnarray*}$$

$$\begin{eqnarray*} A & = & \frac{1}{L_{y}}\left(\frac{2ev_{F}}{\pi ^{2}\alpha }\right)^{2}\left(\frac{v_{s}}{v_{c}}\right)^{K_{c}} \end{eqnarray*}$$

rigid string

for $\omega \ll \omega _{0}$

$$\begin{eqnarray*} M_{xx}(z) & = & A\epsilon ^{2}D_{\xi }e^{-\pi i(K-1)}\Gamma \left(1-K\right)z^{k-2} \end{eqnarray*}$$

for $\omega \gg \omega _{0}$

$$\begin{eqnarray*} M_{xx}(z) & = & \frac{A\epsilon ^{2}D_{\xi }}{\sqrt{\epsilon \... ...{0}}}e^{-\pi i(K-1/2)}\Gamma \left(\frac{1}{2}-K\right)z^{K-3/2} \end{eqnarray*}$$

$$\begin{eqnarray*} A & = & \frac{1}{L_{y}}\left(\frac{2ev_{F}}{\pi ^{2}\alpha }\r... ...ht)^{K_{c}}\left(\frac{m\omega _{0}}{2\pi }\right)^{\frac{3}{2}} \end{eqnarray*}$$

gaussian string

$$\begin{eqnarray*} M_{xx}(z) & = & \epsilon ^{2}D_{\xi 0}e^{\left(2-K_{c}\right)l... ...(1+\frac{rz^{2}}{\left(K+3\right)\left(K+2\right)}\right)\right] \end{eqnarray*}$$

$$\begin{eqnarray*} A & = & \frac{1}{L_{y}}\left(\frac{2ev_{F}}{\pi ^{2}\alpha }\r... ...o }\right)^{2}\left(\frac{v_{s}}{v_{c}}\right)^{K_{c}}\eta ^{-2} \end{eqnarray*}$$

floppy string $n=2$

$$\begin{eqnarray*} M_{xx}(z) & = & \epsilon ^{2}D_{\xi }e^{-\pi i(K-3/4)}\Gamma \... ...ft(K+\frac{9}{4}\right)\left(K+\frac{5}{4}\right)}\right)\right] \end{eqnarray*}$$

$$\begin{eqnarray*} A_{2} & = & \frac{1}{\lambda L_{y}}\left(\frac{2ev_{F}}{\pi ^{... ... }{\alpha }\right)^{\frac{3}{2}}\frac{\lambda }{\sqrt{s}\alpha } \end{eqnarray*}$$

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The translation was initiated by Uri London on 2005-05-29