Abstract:
Nonstationary quantum field scattering theory is constructed for the nonlinear
Schrödinger equation with repulsion. Local fields are introduced through the quantum
Gel'fand–Levitan–Marehenko equations; the equivalence of the field problem to a set of $N$-particle quantum-mechanical problems with two-body $\delta$-functional potential
(coordinate Bethe ansatz) is not used.
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