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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.

MSC:

47A40 Scattering theory of linear operators
81U10 \(n\)-body potential quantum scattering theory

Citations:

Zbl 0708.00010
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