Quantum algebras in classical mechanics

Sergio A. Hojman

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


It is shown that the equations of motion do not determine their Hamiltonian descriptions uniquely. In particular, different Poisson bracket relations are admissible for a given physical problem. The free symmetric top and a charged particle moving on a homogeneous and constant magnetic field, for instance, may be described by a classical Hamiltonian theory with an SU(2)4 Poisson bracket structure.

Original languageEnglish
Pages (from-to)L249-L254
JournalJournal of Physics A: Mathematical and General
Issue number6
StatePublished - 21 Mar 1991


Dive into the research topics of 'Quantum algebras in classical mechanics'. Together they form a unique fingerprint.

Cite this