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Symmetry reduction for central force problems

R. I. McLachlan ; Klas Modin (Institutionen för matematiska vetenskaper, matematik) ; O. Verdier
European Journal of Physics (0143-0807). Vol. 37 (2016), 5,
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: symplectic reduction, Hamiltonian systems, central force problems, geometrie differentielle, lie, Education & Educational Research, Physics

Denna post skapades 2016-09-30. Senast ändrad 2016-10-10.
CPL Pubid: 242710


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Institutionen för matematiska vetenskaper, matematik (2005-2016)



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