Symmetries of the time-dependent N-dimensional oscillator
- 1 March 1980
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 13 (3) , 815-823
- https://doi.org/10.1088/0305-4470/13/3/015
Abstract
The study of the symmetry group of the time-dependent oscillator in N dimensions with equation of motion d2xi/dt2+ Omega 2(t)xi+0, i+1, ..., N, gives the full symmetry group SL(N+2, R) of N2+4N+3 operators. The Noether subgroup consisting of 1/2(N2+3N+6) operators and the resulting constants of motion are given. A table of the commutation relations between the operators gives the structure constants of the associated Lie algebras.Keywords
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