Publication

The problem of two fixed centers: Bifurcation diagram for positive energies

Seri, M., Jan-2015, In : Journal of Mathematical Physics. 56, 1, 14 p., 012902.

Research output: Contribution to journalArticleAcademicpeer-review

We give a comprehensive analysis of the Euler-Jacobi problem of motion in the field of two fixed centers with arbitrary relative strength and for positive values of the energy. These systems represent nontrivial examples of integrable dynamics and are analysed from the point of view of the energy-momentum mapping from the phase space to the space of the integration constants. In this setting, we describe the structure of the scattering trajectories in phase space and derive an explicit description of the bifurcation diagram, i.e., the set of critical value of the energy-momentum map. (C) 2015 AIP Publishing LLC.

Original languageEnglish
Article number012902
Number of pages14
JournalJournal of Mathematical Physics
Volume56
Issue number1
Publication statusPublished - Jan-2015

    Keywords

  • SCHRODINGER-OPERATORS, SEMICLASSICAL LIMIT, FREE DOMAINS, RESONANCES, LOCATION

View graph of relations

Download statistics

No data available

ID: 65871861