Superintegrable three body systems in one dimension and generalizations

2009/07/30 by Claudia Maria Chanu, Chanu, Claudia, Luca Degiovanni +3
Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.0907.5288

openalex publication_date 2009/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Superintegrable Hamiltonian systems describing the interactions among three point masses on a line have been described in [2]. Here, we show examples of how the approach of above can be extended to a higher number of particles on a line and on higher dimensional manifolds. This paper is a slightly extended version of a poster presented at the XVI ICMP held in Prague, 3-8 August 2009.

Related

• Superintegrability and geometry: a review of the extended Hamiltonian approach
• Superintegrability in the interaction of two particles with spin
• Novel Correlations in Arbitrary Dimensions
• One-Dimensional Quantum Systems - From Few to Many Particles
• Integrable and superintegrable quantum mechanical systems with position dependent masses invariant with respect to one parametric Lie groups. 1. Systems with cylindric symmetry