= Transmission amplitude
{title2=$\psi\sim e^{ik_LX}+r e^{-ik_LX}\ (X\to-\infty),\quad\psi\sim t e^{ik_RX}\ (X\to+\infty)$}
For one-dimensional <quantum scattering>, $t$ is the complex amplitude of the outgoing transmitted wave relative to the incoming wave. The <transmission probability> is $|t|^2$ times the ratio of transmitted and incident flux velocities; with equal asymptotic dispersion it is $|t|^2$. A <reflectionless potential> has $r=0$ and a unit-modulus transmission amplitude whose phase shifts continuum quantization. The <supersymmetric factorization of the one-soliton potential> gives $t(k)=(k+im)/(k-im)$ for its single-bound-state potential.
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