Regularisation by Hamiltonian extension

2024/08/01 by Andreas Knauf, Knauf, Andreas
Computer Science · #37C83 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2408.00877

openalex publication_date 2024/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the Kepler potential and its relatives q↦ -‖q‖^-2(1-1/n), n∈ℕ in arbitrary dimension d. We derive a unique real-analytic symplectic extension of phase space on which the Hamiltonian flow is complete and still real-analytic.

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