A completely integrable mechanical system
Abstract
We present a new completely integrable classical mechanical system, that of a particle constrained to a sphere with potential 11005_2004_Article_BF00405865_TeX2GIFE1.gif U = a_i x_i^2 + β left[ {sum {{x_i^2 }/{a_i }} } right]^{  1}.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 November 1982
 DOI:
 10.1007/BF00405865
 Bibcode:
 1982LMaPh...6..449B