Yarevsky, E. A. A three-body one-dimensional system with increasing interactions: Wave function asymptotics. (English) Zbl 0729.47011 Order, disorder and chaos in quantum systems, Proc. Conf., Dubna/USSR 1989, Oper. Theory, Adv. Appl. 46, 155-158 (1990). [For the entire collection see Zbl 0708.00010.] Three one-dimensional particles with increasing pair potentials are considered. The aim of the paper is to obtain the asymptotics for large distances of eigenfunctions of the discrete spectrum. The approach relies on consideration of the corresponding eikonal equation. Reviewer: D.R.Yafaev (St.Petersburg) MSC: 47A40 Scattering theory of linear operators 81U10 \(n\)-body potential quantum scattering theory Keywords:Three one-dimensional particles with increasing pair potentials; asymptotics for large distances of eigenfunctions of the discrete spectrum; eikonal equation Citations:Zbl 0708.00010 PDFBibTeX XMLCite \textit{E. A. Yarevsky}, in: Order, disorder and chaos in quantum systems. Proceedings of a conference held at Dubna, USSR on October 17-21, 1989. Basel etc.: Birkhäuser Verlag. 155--158 (1990; Zbl 0729.47011)