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arXiv · 2609.03112

Poissonian pair correlations for the three-particle Sutherland model

Christopher Lutsko
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Abstract

We prove a Berry-Tabor theorem for the repulsive three-particle trigonometric Sutherland Hamiltonian. For fixed total momentum, its relative spectrum is an affine translate of the positive-definite $A_2$-form. For a Diophantine coupling, the desymmetrized spectrum has Poissonian pair correlation. The proof reduces the problem to a finite-congruence and Weyl-sector version of Marklof's theorem on inhomogeneous quadratic forms.

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Christopher Lutsko. 2026-09-02. Poissonian pair correlations for the three-particle Sutherland model. https://arxiv.org/abs/2609.03112

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