Principal singularities of the $S$ matrix for a system of one-dimensional particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 2, pp. 266-277
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Explicit expressions are obtained for principal singularities of the scattering matrix in one-dimensional particles system described by the Hamiltonian $\Delta /2 +\sum v(x_i-$ $-x_j)$. The conditions are found under which the principal singularities are free from diffraction effects.
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