具有三体硬核相互作用的稀释玻色气体的基态能量

IF 1.4 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2026-03-27 DOI:10.1007/s11005-026-02067-7

Lukas Junge, François L. A. Visconti

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引用次数: 0

摘要

我们考虑在热力学极限下通过三体硬核势相互作用的玻色子气体。我们利用杰斯特罗因子导出了系统在阶上基态能量的上界。我们的结果符合Nam-Ricaud-Triay （J Math Phys 63:071903, 2022）证明的下界，因此解决了领先顺序。此外，我们的证明的直接改编可用于通过组合二体和三体相互作用相互作用的系统，以推广定理1.2。亨利·庞加莱（Henri poincarcars, 2026）到核心潜力。

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Ground state energy of a dilute Bose gas with three-body hard-core interactions

We consider a gas of bosons interacting through a three-body hard-core potential in the thermodynamic limit. We derive an upper bound on the ground state energy of the system at the leading order using a Jastrow factor. Our result matches the lower bound proven by Nam–Ricaud–Triay (J Math Phys 63:071903, 2022) and therefore resolves the leading order. Moreover, a straightforward adaptation of our proof can be used for systems interacting via combined two-body and three-body interactions to generalise Theorem 1.2 from (Ann. Henri Poincaré, 2026) to hard-core potentials.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.