In the paper the asymptotic structure of eigenfunctions of the absolutely continuous spectrum of the scattering problem is described. The case of three one-dimensional quantum particles interacting by repulsive pair potentials with a compact support is considered.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 471, 2018, pp. 15–37.
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Baibulov, I.V., Budylin, A.M. & Levin, S.B. The Asymptotics of Eigenfunctions of the Absolutely Continuous Spectrum. The Scattering Problem of Three One-Dimensional Quantum Particles. J Math Sci 243, 640–655 (2019). https://doi.org/10.1007/s10958-019-04566-6
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DOI: https://doi.org/10.1007/s10958-019-04566-6