Regularisation by Hamiltonian extension

Autor: Knauf, Andreas
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We consider the Kepler potential and its relatives $q\mapsto -\|q\|^{-2(1-1/n)}$, $n\in\mathbb{N}$ 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.
Databáze: arXiv