Proof of universality in one-dimensional few-body systems including anisotropic interactions

• URL: http://arxiv.org/abs/2107.12233v1
• Date: Mon, 26 Jul 2021 14:23:49 GMT
• Title: Proof of universality in one-dimensional few-body systems including anisotropic interactions
• Authors: Lucas Happ, Maxim A. Efremov
• Abstract summary: We provide an analytical proof of universality for bound states in one-dimensional systems of two and three particles. The proof is performed in the limit of weak pair-interactions and covers both binding energies and wave functions.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We provide an analytical proof of universality for bound states in one-dimensional systems of two and three particles, valid for short-range interactions with negative or vanishing integral over space. The proof is performed in the limit of weak pair-interactions and covers both binding energies and wave functions. Moreover, in this limit the results are formally shown to converge to the respective ones found in the case of the zero-range contact interaction.

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