Regularisation by Hamiltonian extension

Knauf A (2025)

Publication Type: Journal article

Publication year: 2025

Journal

Nonlinearity Institute of Physics: Hybrid Open Access

Book Volume: 38

Article Number: 075033

Journal Issue: 7

DOI: 10.1088/1361-6544/adf0d8

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.

Authors with CRIS profile

Andreas Knauf Lehrstuhl für Darstellungstheorie

How to cite

APA:

Knauf, A. (2025). Regularisation by Hamiltonian extension. Nonlinearity, 38(7). https://doi.org/10.1088/1361-6544/adf0d8

MLA:

Knauf, Andreas. "Regularisation by Hamiltonian extension." Nonlinearity 38.7 (2025).

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