Model of the effective separable potential in the problem of three one-dimensional quantum particles

The goal of this paper is to construct an effective model for studying the asymptotic solution of the scattering problem of three one-dimensional quantum particles with finite (short-range) attractive pair potentials. The asymptotic nature of the solution is defined by the rapid decrease in its disc...

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Bibliographic Details
Published in:arXiv.org 2024-05
Main Authors: Levin, Sergey B, Bagmutov, Alexandr S, Toropov, Victor O
Format: Article
Language:English
Subjects:
Asymptotic methods
Online Access:Get full text
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Summary:The goal of this paper is to construct an effective model for studying the asymptotic solution of the scattering problem of three one-dimensional quantum particles with finite (short-range) attractive pair potentials. The asymptotic nature of the solution is defined by the rapid decrease in its discrepancy in the Schr\"odinger equation.
ISSN:2331-8422