Symmetry reduction for central force problems
Artikel i vetenskaplig tidskrift, 2016
We give an elementary illustration of symmetry reduction for central force problems, drawing phase portraits of the reduced dynamics as the intersection of Casimir and energy level sets in three dimensions. These systems form a classic example of symplectic reduction which can usefully be compared to the more commonly seen case of the free rigid body.
Physics
central force problems
symplectic reduction
Education & Educational Research
Hamiltonian systems
geometrie differentielle
lie
Författare
R. I. McLachlan
Massey University
Klas Modin
Chalmers, Matematiska vetenskaper, Matematik
Göteborgs universitet
Olivier Verdier
Hogskolen i Bergen
European Journal of Physics
0143-0807 (ISSN) 13616404 (eISSN)
Vol. 37 5 055003Ämneskategorier
Matematik
Fysik
Fundament
Grundläggande vetenskaper
DOI
10.1088/0143-0807/37/5/055003