2014/04/28 by J. A. Calzada, Calzada, J. A., Ş. Kuru +3 · 2 citations
Mathematics · Physics and Astronomy · #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1404.7066
15 pages, no figures. Submitted
arxiv created 2014/04/28 · arxiv updated 2014/04/29
In a previous work, both the constants of motion of a classical system and the symmetries of the corresponding quantum version have been computed with the help of factorizations. As their expressions were not polynomial, in this paper the question of finding an equivalent set of polynomial constants of motion and symmetries is addressed. The general algebraic relations as well as the appropriate Hermitian relations will also be found.