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scatteringly
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Scatteringly might refer to |
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The scattering length in quantum mechanics describes low-energy scattering. It is defined as the following low-energy limit:* * * * * lim * * k * → * 0 * * * k * cot * * δ * ( * k * ) * = * − * * * 1 * a * * * * , * * * {\displaystyle \lim _{k\to 0}k\cot \delta (k)=-{\frac {1}{a}}\;,} * where * * * * a * * * {\displaystyle a} * is the scattering length, * * * * k * * * {\displaystyle k} * is the wave number, and * * * * δ * ( * k * ) * * * {\displaystyle \delta (k)} * is the phase shift of the outgoing spherical wave. The elastic cross section, * * * * * σ * * e * * * * * {\displaystyle \sigma _{e}} * , at low energies is determined solely by the scattering length: * * * * * * lim * * k * → * 0 * * * * σ * * e * * * = * 4 * π * * a * * 2 * * * * . * * * {\displaystyle \lim _{k\to 0}\sigma _{e}=4\pi a^{2}\;.} |